Pith Number

pith:Q7JHGBML

pith:2015:Q7JHGBML5JDVIDVCMRNDHJTOX4

not attested not anchored not stored refs pending

On the enumeration of tanglegrams and tangled chains

Frederick A Matsen IV, Matja\v{z} Konvalinka, Sara Billey

arxiv:1507.04976 v1 · 2015-07-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7JHGBML5JDVIDVCMRNDHJTOX4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:36:42.272065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d273058bea47540ea2645a33a66ebf3197d5adc385402527cd38f8bb5ffb23

Aliases

arxiv: 1507.04976 · arxiv_version: 1507.04976v1 · doi: 10.48550/arxiv.1507.04976 · pith_short_12: Q7JHGBML5JDV · pith_short_16: Q7JHGBML5JDVIDVC · pith_short_8: Q7JHGBML

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/Q7JHGBML5JDVIDVCMRNDHJTOX4 \
  | 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: 87d273058bea47540ea2645a33a66ebf3197d5adc385402527cd38f8bb5ffb23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6ffcd5115d916f51c1530165a440a53f1377d4fa6d487f73d7712e7a2a7420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T14:08:10Z",
    "title_canon_sha256": "037d7045f3a6fd22fb7395a64438df6985905294307b6972d6f9919c3612007f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04976",
    "kind": "arxiv",
    "version": 1
  }
}