Pith Number

pith:QQFCSMBW

pith:2013:QQFCSMBWM55TTARWOPCQ7ZEXHC

not attested not anchored not stored refs pending

The q=-1 phenomenon via homology concentration

Dennis Stanton, John Shareshian, Patricia Hersh

arxiv:1310.7066 v1 · 2013-10-26 · 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{QQFCSMBWM55TTARWOPCQ7ZEXHC}

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	2026-05-18T03:08:46.338939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840a293036677b39823673c50fe49738973ccc31999b831079d2f928c6b2c6ec

Aliases

arxiv: 1310.7066 · arxiv_version: 1310.7066v1 · doi: 10.48550/arxiv.1310.7066 · pith_short_12: QQFCSMBWM55T · pith_short_16: QQFCSMBWM55TTARW · pith_short_8: QQFCSMBW

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/QQFCSMBWM55TTARWOPCQ7ZEXHC \
  | 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: 840a293036677b39823673c50fe49738973ccc31999b831079d2f928c6b2c6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd3cbdaebd069f763d7e293b21d3f533532419b3e7089fbfca66549b83ffed81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-26T03:56:58Z",
    "title_canon_sha256": "153eb767a4db69fdd38a020b12b71555d75eb53de9cf85b937e7c30e17287a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7066",
    "kind": "arxiv",
    "version": 1
  }
}