Pith Number

pith:K52JFFKW

pith:2011:K52JFFKWLVOW4V3QFWECH3HKC5

not attested not anchored not stored refs pending

Faces of polytopes and Koszul algebras

Apoorva Khare, Tim Ridenour, Vyjayanthi Chari

arxiv:1105.2840 v3 · 2011-05-13 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K52JFFKWLVOW4V3QFWECH3HKC5}

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	2026-05-18T02:28:21.376254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57749295565d5d6e57702d8823ecea1765d8e512bbbb210cbe99cc7d28b7bb0e

Aliases

arxiv: 1105.2840 · arxiv_version: 1105.2840v3 · doi: 10.48550/arxiv.1105.2840 · pith_short_12: K52JFFKWLVOW · pith_short_16: K52JFFKWLVOW4V3Q · pith_short_8: K52JFFKW

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/K52JFFKWLVOW4V3QFWECH3HKC5 \
  | 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: 57749295565d5d6e57702d8823ecea1765d8e512bbbb210cbe99cc7d28b7bb0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66295e75fa88a122c732401cff5a3514fa80c062621dbaf0354e3fa4514eaa0e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-13T21:22:40Z",
    "title_canon_sha256": "694ccc763b3dcd15ea17fa40c9a2558ac68f44ca7726a6961c430c5baefd9285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2840",
    "kind": "arxiv",
    "version": 3
  }
}