Pith Number

pith:YMRVU4BJ

pith:2014:YMRVU4BJC6INVWI6GHDDZ3G4QT

not attested not anchored not stored refs pending

Equivalence classes of nodes in trees and rational generating functions

Amritanshu Prasad

arxiv:1407.5284 v1 · 2014-07-20 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMRVU4BJC6INVWI6GHDDZ3G4QT}

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	2026-05-18T02:47:14.426630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3235a70291790dad91e31c63cecdc84f82f41fec96544862fa9c5499849edb1

Aliases

arxiv: 1407.5284 · arxiv_version: 1407.5284v1 · doi: 10.48550/arxiv.1407.5284 · pith_short_12: YMRVU4BJC6IN · pith_short_16: YMRVU4BJC6INVWI6 · pith_short_8: YMRVU4BJ

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/YMRVU4BJC6INVWI6GHDDZ3G4QT \
  | 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: c3235a70291790dad91e31c63cecdc84f82f41fec96544862fa9c5499849edb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331d879c305362b7a141676c57fd6128bcf67d073be4d7d844427ab6873d5a6f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-20T12:59:36Z",
    "title_canon_sha256": "199a665d60e31029b337e8301954b8a9a49aa6455eaa71b369399fc1e77a1db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5284",
    "kind": "arxiv",
    "version": 1
  }
}