Pith Number

pith:RFXS5R3Z

pith:2011:RFXS5R3ZVIWUDZDFA26AU3QOEZ

not attested not anchored not stored refs pending

The cone of Betti diagrams over a hypersurface ring of low embedding dimension

Christine Berkesch, Courtney Gibbons, Daniel Erman, Jesse Burke

arxiv:1109.5198 v2 · 2011-09-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFXS5R3ZVIWUDZDFA26AU3QOEZ}

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	2026-05-18T00:17:24.803532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896f2ec779aa2d41e46506bc0a6e0e26597fe27b715a774e592612c36e418a8c

Aliases

arxiv: 1109.5198 · arxiv_version: 1109.5198v2 · doi: 10.48550/arxiv.1109.5198 · pith_short_12: RFXS5R3ZVIWU · pith_short_16: RFXS5R3ZVIWUDZDF · pith_short_8: RFXS5R3Z

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/RFXS5R3ZVIWUDZDFA26AU3QOEZ \
  | 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: 896f2ec779aa2d41e46506bc0a6e0e26597fe27b715a774e592612c36e418a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97435f17ef223336f488fdbb99fc5ae846ad15f771734370e6f0673823db3392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-23T20:52:21Z",
    "title_canon_sha256": "abe598a195cad90b9f51643529f158b902aa9fc7814126e3e394e02eeea36db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5198",
    "kind": "arxiv",
    "version": 2
  }
}