Pith Number

pith:I72NAEEJ

pith:2016:I72NAEEJ36Y32UGRIEXVKXNWCH

not attested not anchored not stored refs pending

Eroding dipoles and vorticity growth for Euler flows in $ \scriptstyle{\mathbb{R}}^3$: The hairpin geometry as a model for finite-time blowup

Andrew D. Gilbert, Stephen Childress

arxiv:1612.07709 v2 · 2016-12-22 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I72NAEEJ36Y32UGRIEXVKXNWCH}

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

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	2026-05-18T00:27:09.774504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f4d01089dfb1bd50d1412f555db611c906d05112df4378d0724372c11b936b

Aliases

arxiv: 1612.07709 · arxiv_version: 1612.07709v2 · doi: 10.48550/arxiv.1612.07709 · pith_short_12: I72NAEEJ36Y3 · pith_short_16: I72NAEEJ36Y32UGR · pith_short_8: I72NAEEJ

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/I72NAEEJ36Y32UGRIEXVKXNWCH \
  | 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: 47f4d01089dfb1bd50d1412f555db611c906d05112df4378d0724372c11b936b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b2859330a16ce197c99408fdb5c16538790f39b6803a93f39c83f4d085efbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-12-22T17:18:51Z",
    "title_canon_sha256": "9fc7331dcab8afd0fab4d97570baef33318949c94a357e2c2ec5a2f083662ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07709",
    "kind": "arxiv",
    "version": 2
  }
}