Pith Number

pith:AJ5A7S43

pith:2006:AJ5A7S43NOBITHAFXK2NME542D

not attested not anchored not stored refs pending

On distinguishing trees by their chromatic symmetric functions

Jennifer D. Wagner, Jeremy L. Martin, Matthew Morin

arxiv:math/0609339 v3 · 2006-09-12 · 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{AJ5A7S43NOBITHAFXK2NME542D}

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	2026-05-18T04:11:40.906638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027a0fcb9b6b82899c05bab4d613bcd0de3ea02db0d4f88700a818f71ce1be89

Aliases

arxiv: math/0609339 · arxiv_version: math/0609339v3 · doi: 10.48550/arxiv.math/0609339 · pith_short_12: AJ5A7S43NOBI · pith_short_16: AJ5A7S43NOBITHAF · pith_short_8: AJ5A7S43

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/AJ5A7S43NOBITHAFXK2NME542D \
  | 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: 027a0fcb9b6b82899c05bab4d613bcd0de3ea02db0d4f88700a818f71ce1be89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f93e99d07b4e666614581393323df8b0f1735f4dc34492729dcc0ee2b3e5c25",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-12T22:09:45Z",
    "title_canon_sha256": "23963fc0568ffd376103d58425ea127adcccf3a1ad12cc3db1c0f29b7eb608a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609339",
    "kind": "arxiv",
    "version": 3
  }
}