Pith Number

pith:URW5VEUW

pith:2018:URW5VEUWB4WYGJKGCEL3JA36RX

not attested not anchored not stored refs pending

A note on gamma triangles and local gamma vectors

Fr\'ed\'eric Chapoton (IRMA)

arxiv:1809.00575 v1 · 2018-09-03 · 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{URW5VEUWB4WYGJKGCEL3JA36RX}

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	2026-05-18T00:06:33.162341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46dda92960f2d8325461117b4837e8de51c42c502ff67569e424985163208d3

Aliases

arxiv: 1809.00575 · arxiv_version: 1809.00575v1 · doi: 10.48550/arxiv.1809.00575 · pith_short_12: URW5VEUWB4WY · pith_short_16: URW5VEUWB4WYGJKG · pith_short_8: URW5VEUW

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/URW5VEUWB4WYGJKGCEL3JA36RX \
  | 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: a46dda92960f2d8325461117b4837e8de51c42c502ff67569e424985163208d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c821b5a37e030278dba21264d0635b0c098393b250fb5c31feccc6096f9dea9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-03T12:17:10Z",
    "title_canon_sha256": "084d67824501d9187ae9afff6da6de6ece4beaf2795486442da863607eb26abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00575",
    "kind": "arxiv",
    "version": 1
  }
}