pith. sign in
Pith Number

pith:PPT3RALS

pith:2018:PPT3RALSHTJ3EY4QMVFL4SUPVW
not attested not anchored not stored refs pending

Stable Cluster Variables

Grace Zhang

arxiv:1810.03699 v1 · 2018-10-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PPT3RALSHTJ3EY4QMVFL4SUPVW}

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 2026-05-18T00:03:44.719342Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7be7b881723cd3b26390654abe4a8fadad0e5cc0a2fd5212598514e609908eb4

Aliases

arxiv: 1810.03699 · arxiv_version: 1810.03699v1 · doi: 10.48550/arxiv.1810.03699 · pith_short_12: PPT3RALSHTJ3 · pith_short_16: PPT3RALSHTJ3EY4Q · pith_short_8: PPT3RALS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PPT3RALSHTJ3EY4QMVFL4SUPVW \
  | 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: 7be7b881723cd3b26390654abe4a8fadad0e5cc0a2fd5212598514e609908eb4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "32bc3230a94c25116a7e8a2a2d6c8616dc60ee023938ec4eb812b846a4b0aeb3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-08T21:09:07Z",
    "title_canon_sha256": "a3d64ab2baa7d479249beb6ac29e5a23b68a605cd7313c630f1c07ec7e817b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03699",
    "kind": "arxiv",
    "version": 1
  }
}