Pith Number

pith:5GZZL2RM

pith:2005:5GZZL2RMXBDW464Y53I4MKQJX3

not attested not anchored not stored refs pending

Moment-angle complexes, monomial ideals, and Massey products

Alexander I. Suciu, Graham Denham

arxiv:math/0512497 v4 · 2005-12-21 · math.AT · 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{5GZZL2RMXBDW464Y53I4MKQJX3}

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	2026-05-18T03:04:34.348337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b395ea2cb8476e7b98eed1c62a09befa62201ef05a3773a7cdad500a6eb772

Aliases

arxiv: math/0512497 · arxiv_version: math/0512497v4 · doi: 10.48550/arxiv.math/0512497 · pith_short_12: 5GZZL2RMXBDW · pith_short_16: 5GZZL2RMXBDW464Y · pith_short_8: 5GZZL2RM

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/5GZZL2RMXBDW464Y53I4MKQJX3 \
  | 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: e9b395ea2cb8476e7b98eed1c62a09befa62201ef05a3773a7cdad500a6eb772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ee4e4b537f55fbb62fc20283149f04afee4548d1dc0a12e00ebae541feb454",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-12-21T16:26:42Z",
    "title_canon_sha256": "41036ec909fe5b57a832ad4270e4a65e843b3ca38ecb90e0b160967179fbdb7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512497",
    "kind": "arxiv",
    "version": 4
  }
}