Pith Number

pith:QGOCXN7R

pith:2017:QGOCXN7RKPUHXF4FBEIIPTROFZ

not attested not anchored not stored refs pending

Gamma-positivity in combinatorics and geometry

Christos A. Athanasiadis

arxiv:1711.05983 v3 · 2017-11-16 · 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{QGOCXN7RKPUHXF4FBEIIPTROFZ}

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	2026-05-17T23:59:23.049680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819c2bb7f153e87b9785091087ce2e2e62ea7f4995833f4fae968bf0e85dc324

Aliases

arxiv: 1711.05983 · arxiv_version: 1711.05983v3 · doi: 10.48550/arxiv.1711.05983 · pith_short_12: QGOCXN7RKPUH · pith_short_16: QGOCXN7RKPUHXF4F · pith_short_8: QGOCXN7R

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/QGOCXN7RKPUHXF4FBEIIPTROFZ \
  | 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: 819c2bb7f153e87b9785091087ce2e2e62ea7f4995833f4fae968bf0e85dc324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c44a077c4d6ae539fa06befbffff4dd97fda67d0d928430f6f6793b21c1318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-16T08:39:32Z",
    "title_canon_sha256": "58d969881c56a06881f5a982f2b43bdd42595406c80e8db97a5a3d0a35c5a482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05983",
    "kind": "arxiv",
    "version": 3
  }
}