Pith Number

pith:GIS7JFGN

pith:2015:GIS7JFGN6YRSNE3ZQGKKJ7VR44

not attested not anchored not stored refs pending

Face rings of cycles, associahedra, and standard Young tableaux

Anton Dochtermann

arxiv:1503.06243 v3 · 2015-03-20 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIS7JFGN6YRSNE3ZQGKKJ7VR44}

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	2026-05-18T01:08:26.666052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3225f494cdf6232693798194a4feb1e710c4a58e15ecc1576007bcccc2389f71

Aliases

arxiv: 1503.06243 · arxiv_version: 1503.06243v3 · doi: 10.48550/arxiv.1503.06243 · pith_short_12: GIS7JFGN6YRS · pith_short_16: GIS7JFGN6YRSNE3Z · pith_short_8: GIS7JFGN

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/GIS7JFGN6YRSNE3ZQGKKJ7VR44 \
  | 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: 3225f494cdf6232693798194a4feb1e710c4a58e15ecc1576007bcccc2389f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517facc6635a00fae8d4528f37e7c333f89dc91356289a35e6f390d761472e3d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-20T22:34:26Z",
    "title_canon_sha256": "b033e22e6b79d335af17ac6a1488f9543992e79e4b6b3f8f02f3c5bd42e436ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06243",
    "kind": "arxiv",
    "version": 3
  }
}