Pith Number

pith:BJMKT4YD

pith:2015:BJMKT4YDHNILEVAMNGYIPRUL4H

not attested not anchored not stored refs pending

Hangable Graphs

Jerzy Topp, Mateusz Miotk

arxiv:1512.07767 v1 · 2015-12-24 · cs.DM · 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{BJMKT4YDHNILEVAMNGYIPRUL4H}

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	2026-05-18T01:22:57.229424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a58a9f3033b50b2540c69b087c68be1cf0b192c99b48b2366a289ecf4125c1a

Aliases

arxiv: 1512.07767 · arxiv_version: 1512.07767v1 · doi: 10.48550/arxiv.1512.07767 · pith_short_12: BJMKT4YDHNIL · pith_short_16: BJMKT4YDHNILEVAM · pith_short_8: BJMKT4YD

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/BJMKT4YDHNILEVAMNGYIPRUL4H \
  | 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: 0a58a9f3033b50b2540c69b087c68be1cf0b192c99b48b2366a289ecf4125c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504a25722cd3f1db01f08bffdc4bbb62de584540b701616216a97d22d3aa00df",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-24T09:31:14Z",
    "title_canon_sha256": "ce0d48dc73b37a84cdc4d9961832723041e7a078dd302f261eb43d3ac3503b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07767",
    "kind": "arxiv",
    "version": 1
  }
}