Pith Number

pith:7SHXLS3V

pith:2012:7SHXLS3VIMRYNUQIV2EIYRK7IO

not attested not anchored not stored refs pending

Exponential growth in two-dimensional topological fluid dynamics

Philip Boyland

arxiv:1210.2697 v1 · 2012-10-09 · math.DS · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SHXLS3VIMRYNUQIV2EIYRK7IO}

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	2026-05-18T03:43:40.891116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8f75cb75432386d208ae888c455f43932f68de0180df9484eb6a396fe46450

Aliases

arxiv: 1210.2697 · arxiv_version: 1210.2697v1 · doi: 10.48550/arxiv.1210.2697 · pith_short_12: 7SHXLS3VIMRY · pith_short_16: 7SHXLS3VIMRYNUQI · pith_short_8: 7SHXLS3V

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/7SHXLS3VIMRYNUQIV2EIYRK7IO \
  | 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: fc8f75cb75432386d208ae888c455f43932f68de0180df9484eb6a396fe46450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b9392a71d3d2b93304b65dfc708e1a961ba326a28dd9f2cc6f4b1a9ad23bf7",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-09T19:15:46Z",
    "title_canon_sha256": "2afc8136b0d0cf828c45742f1749f9479dbea14a252fa3fb132fb52b5600df17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2697",
    "kind": "arxiv",
    "version": 1
  }
}