Pith Number

pith:FJO3YPRA

pith:2012:FJO3YPRA2OMFDMO7VR5WY6ZAUI

not attested not anchored not stored refs pending

Boundary conditions in PDE model of collisions of swimmers

Leonid Berlyand, Mykhailo Potomkin, Vitaliy Gyrya

arxiv:1212.5748 v1 · 2012-12-23 · 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{FJO3YPRA2OMFDMO7VR5WY6ZAUI}

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	2026-05-18T03:37:51.553483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5dbc3e20d39851b1dfac7b6c7b20a21f4b0015cf25ef347605c0f840d3bb39

Aliases

arxiv: 1212.5748 · arxiv_version: 1212.5748v1 · doi: 10.48550/arxiv.1212.5748 · pith_short_12: FJO3YPRA2OMF · pith_short_16: FJO3YPRA2OMFDMO7 · pith_short_8: FJO3YPRA

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/FJO3YPRA2OMFDMO7VR5WY6ZAUI \
  | 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: 2a5dbc3e20d39851b1dfac7b6c7b20a21f4b0015cf25ef347605c0f840d3bb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb6fa0eb6143f04204f46860e93e0fdcca499d7a182ae446d433029e3407584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-23T01:00:52Z",
    "title_canon_sha256": "349e4da620ac287488455936da8f7d5e6072d46bd92f2a19cfe231ec08277cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5748",
    "kind": "arxiv",
    "version": 1
  }
}