Pith Number

pith:CIB3USJU

pith:2018:CIB3USJUABQNQAWQYWSOPJCIT7

not attested not anchored not stored refs pending

Nonvanishing Betti Numbers of Weakly Chordal Graphs

Jose Martinez-Bernal, Oscar A. Piza-Morales

arxiv:1812.11400 v1 · 2018-12-29 · 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{CIB3USJUABQNQAWQYWSOPJCIT7}

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	2026-05-17T23:57:12.059140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1203ba49340060d802d0c5a4e7a4489ffb060b27eec2ad778d72eb3f9fe13aa4

Aliases

arxiv: 1812.11400 · arxiv_version: 1812.11400v1 · doi: 10.48550/arxiv.1812.11400 · pith_short_12: CIB3USJUABQN · pith_short_16: CIB3USJUABQNQAWQ · pith_short_8: CIB3USJU

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/CIB3USJUABQNQAWQYWSOPJCIT7 \
  | 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: 1203ba49340060d802d0c5a4e7a4489ffb060b27eec2ad778d72eb3f9fe13aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d237205d8a4f9a5d9f964aed78a99aefa2e2b9652f16810c77ef702e1ecc53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-12-29T17:06:00Z",
    "title_canon_sha256": "a17bd4236bcb42cb69dd115e6c2b5bcc35a208418d7994b8b3a07c1a486def52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11400",
    "kind": "arxiv",
    "version": 1
  }
}