Pith Number

pith:GL37WMIZ

pith:2013:GL37WMIZN65RYOUBLYR6W3VCVU

not attested not anchored not stored refs pending

Algebra retracts and Stanley-Reisner rings

Hop D. Nguyen, Neil Epstein

arxiv:1301.3967 v2 · 2013-01-17 · math.AC · math.CO · 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{GL37WMIZN65RYOUBLYR6W3VCVU}

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	2026-05-18T01:24:38.820042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f7fb31196fbb1c3a815e23eb6ea2ad39581c6a75683cd4bd0a686cf0ab1b64

Aliases

arxiv: 1301.3967 · arxiv_version: 1301.3967v2 · doi: 10.48550/arxiv.1301.3967 · pith_short_12: GL37WMIZN65R · pith_short_16: GL37WMIZN65RYOUB · pith_short_8: GL37WMIZ

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/GL37WMIZN65RYOUBLYR6W3VCVU \
  | 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: 32f7fb31196fbb1c3a815e23eb6ea2ad39581c6a75683cd4bd0a686cf0ab1b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed95b3a3883bb5465be9325211b6d0415ed694f74b09fe33d860d32e82280b02",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-17T02:16:27Z",
    "title_canon_sha256": "36750fde4a5afffdfd0f8d2da443100ce459ddf29bd1571adc263fde019e4e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3967",
    "kind": "arxiv",
    "version": 2
  }
}