Pith Number

pith:UCEE7TFA

pith:2011:UCEE7TFA5LZN7BTHKQQMV3ZO4N

not attested not anchored not stored refs pending

Local Uniqueness of Steady Spherical Transonic Shock-fronts for the Three-Dimensional Full Euler Equations

Gui-Qiang G. Chen, Hairong Yuan

arxiv:1112.1750 v1 · 2011-12-08 · 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{UCEE7TFA5LZN7BTHKQQMV3ZO4N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T04:06:45.717915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0884fcca0eaf2df86675420caef2ee3780af5eb359e51ab6f9e2834d86787bf

Aliases

arxiv: 1112.1750 · arxiv_version: 1112.1750v1 · doi: 10.48550/arxiv.1112.1750 · pith_short_12: UCEE7TFA5LZN · pith_short_16: UCEE7TFA5LZN7BTH · pith_short_8: UCEE7TFA

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/UCEE7TFA5LZN7BTHKQQMV3ZO4N \
  | 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: a0884fcca0eaf2df86675420caef2ee3780af5eb359e51ab6f9e2834d86787bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dd1d559795080f8c1ac11c8f84f9e2abe30ae9ed129fc60a3c2cd2812188a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-08T02:14:57Z",
    "title_canon_sha256": "edaa8b5012e31937741b312e488f87d3eb3f5a6c013ddff83becc7939bca7dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1750",
    "kind": "arxiv",
    "version": 1
  }
}