Pith Number

pith:4GMMYQR6

pith:2014:4GMMYQR6VADDA6M6UQ35JZU333

not attested not anchored not stored refs pending

Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations

Pengfei Liu, Thomas Y. Hou

arxiv:1407.5740 v2 · 2014-07-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GMMYQR6VADDA6M6UQ35JZU333}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$)

Receipt and verification

First computed	2026-05-18T02:26:45.387792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e198cc423ea80630799ea437d4e69bdeff96e47dee24ee6cc56ca0b124dae2a6

Aliases

arxiv: 1407.5740 · arxiv_version: 1407.5740v2 · doi: 10.48550/arxiv.1407.5740 · pith_short_12: 4GMMYQR6VADD · pith_short_16: 4GMMYQR6VADDA6M6 · pith_short_8: 4GMMYQR6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4GMMYQR6VADDA6M6UQ35JZU333 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e198cc423ea80630799ea437d4e69bdeff96e47dee24ee6cc56ca0b124dae2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ab3447646119db22fd3dfcbd00f8d9d13d9bcf34aebef1f366550707006ff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-22T05:56:46Z",
    "title_canon_sha256": "478d21392f54ab8354a524e3af1059ccb3e2857d4fff8097dccff23b77420291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5740",
    "kind": "arxiv",
    "version": 2
  }
}