Pith Number

pith:SCNGNMGO

pith:2013:SCNGNMGO52RL4TJBYI2T54A3CL

not attested not anchored not stored refs pending

Exponential growth of the vorticity gradient for the Euler equation on the torus

Andrej Zlatos

arxiv:1310.6128 v2 · 2013-10-23 · 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{SCNGNMGO52RL4TJBYI2T54A3CL}

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	2026-05-18T02:40:54.184980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909a66b0ceeea2be4d21c2353ef01b12e97a3a8ceb3110ed2e3dd8b546569c01

Aliases

arxiv: 1310.6128 · arxiv_version: 1310.6128v2 · doi: 10.48550/arxiv.1310.6128 · pith_short_12: SCNGNMGO52RL · pith_short_16: SCNGNMGO52RL4TJB · pith_short_8: SCNGNMGO

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/SCNGNMGO52RL4TJBYI2T54A3CL \
  | 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: 909a66b0ceeea2be4d21c2353ef01b12e97a3a8ceb3110ed2e3dd8b546569c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a7306821cf2432293d8129637419b2e9fcc80dea79f96154534b2b9f51dd46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-23T07:01:07Z",
    "title_canon_sha256": "3ede0e98e4e9814164cc71ebb0f833e3ef898ae194c0761d50bcd9691defa2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6128",
    "kind": "arxiv",
    "version": 2
  }
}