Pith Number

pith:GNZTM3QP

pith:2016:GNZTM3QPNNTCEOYYSUZJKRYAYU

not attested not anchored not stored refs pending

Counting paths with Schur transitions

Alvaro Veliz-Osorio, Garreth Kemp, Pablo Diaz

arxiv:1604.06810 v1 · 2016-04-22 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNZTM3QPNNTCEOYYSUZJKRYAYU}

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	2026-05-18T01:04:20.819763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3373366e0f6b66223b189532954700c52f23c8dcb18ba882d3a4a0d5c51a2863

Aliases

arxiv: 1604.06810 · arxiv_version: 1604.06810v1 · doi: 10.48550/arxiv.1604.06810 · pith_short_12: GNZTM3QPNNTC · pith_short_16: GNZTM3QPNNTCEOYY · pith_short_8: GNZTM3QP

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/GNZTM3QPNNTCEOYYSUZJKRYAYU \
  | 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: 3373366e0f6b66223b189532954700c52f23c8dcb18ba882d3a4a0d5c51a2863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d88c85f05aa651a72e4d5146caa619424edb7d480a728cd77d0f1d8f2e8365",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-22T20:02:30Z",
    "title_canon_sha256": "500f9007b6f671867a4f7e107d9d656583c4d2b98a43b30ea2c1c6cd26960b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06810",
    "kind": "arxiv",
    "version": 1
  }
}