Pith Number

pith:FI4JSUGL

pith:2015:FI4JSUGLHOGCOR6SDEUSKKR2EO

not attested not anchored not stored refs pending

CoEulerian graphs

Lionel Levine, Matthew Farrell

arxiv:1502.04690 v3 · 2015-02-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FI4JSUGLHOGCOR6SDEUSKKR2EO}

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	2026-05-18T01:33:24.167669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a389950cb3b8c2747d21929252a3a23908bc4e6df143e862f7e14f66b5596b7

Aliases

arxiv: 1502.04690 · arxiv_version: 1502.04690v3 · doi: 10.48550/arxiv.1502.04690 · pith_short_12: FI4JSUGLHOGC · pith_short_16: FI4JSUGLHOGCOR6S · pith_short_8: FI4JSUGL

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/FI4JSUGLHOGCOR6SDEUSKKR2EO \
  | 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: 2a389950cb3b8c2747d21929252a3a23908bc4e6df143e862f7e14f66b5596b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e220f8ee379955cdb8eeda3da12e716e9968400bf75b0fee904ebb224d73d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-16T20:43:49Z",
    "title_canon_sha256": "1507a02562cd88653f2c3c8003174320a62b1dbc1bec5a634c61d4be0a047483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04690",
    "kind": "arxiv",
    "version": 3
  }
}