Pith Number

pith:XKFXU4WP

pith:2014:XKFXU4WPFS37EPJ5MSA5IL4QEA

not attested not anchored not stored refs pending

A 3-to-1 cactus graph: Details

Avi Levy

arxiv:1410.5903 v1 · 2014-10-22 · 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{XKFXU4WPFS37EPJ5MSA5IL4QEA}

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	2026-05-18T02:39:32.976985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8b7a72cf2cb7f23d3d6481d42f9020384573bf8f340c1ab47a3546cfd86a36

Aliases

arxiv: 1410.5903 · arxiv_version: 1410.5903v1 · doi: 10.48550/arxiv.1410.5903 · pith_short_12: XKFXU4WPFS37 · pith_short_16: XKFXU4WPFS37EPJ5 · pith_short_8: XKFXU4WP

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/XKFXU4WPFS37EPJ5MSA5IL4QEA \
  | 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: ba8b7a72cf2cb7f23d3d6481d42f9020384573bf8f340c1ab47a3546cfd86a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c40f242a9d873ecaa84e0029349a414068beb1dce25d7883fa1f09a79c3dd94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-22T02:50:47Z",
    "title_canon_sha256": "86984027cc96f16bfccea3bc6cffce29b173068e027ed7e43507cc018c68d399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5903",
    "kind": "arxiv",
    "version": 1
  }
}