Pith Number

pith:SN2WGGLC

pith:2026:SN2WGGLC7IPPCYCNIQ6B5HGVGI

not attested not anchored not stored refs pending

Gamma-positivity for octopuses: a bijective proof

Krishna Menon

arxiv:2608.13247 v1 · 2026-08-13 · 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{SN2WGGLC7IPPCYCNIQ6B5HGVGI}

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	2026-08-14T01:00:45.741992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9375631962fa1ef1604d443c1e9cd5320fccc8267b71304f3ba458d1b69895af

Aliases

arxiv: 2608.13247 · arxiv_version: 2608.13247v1 · doi: 10.48550/arxiv.2608.13247 · pith_short_12: SN2WGGLC7IPP · pith_short_16: SN2WGGLC7IPPCYCN · pith_short_8: SN2WGGLC

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/SN2WGGLC7IPPCYCNIQ6B5HGVGI \
  | 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: 9375631962fa1ef1604d443c1e9cd5320fccc8267b71304f3ba458d1b69895af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fde5d0063d460fb140479410168c557a7531d29c466c666591b9bfb55eda145",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-13T13:52:02Z",
    "title_canon_sha256": "d652fff254eea80e125e7e7f4cfaae556ad2c9e57c5037541eac7e709f6c8e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13247",
    "kind": "arxiv",
    "version": 1
  }
}