Pith Number

pith:DPN6V5LW

pith:2013:DPN6V5LW2MJ4MGQUQMZE52NAED

not attested not anchored not stored refs pending

On the Betti numbers of some classes of Binomial edge ideals

Sohail Zafar, Zohaib Zahid

arxiv:1310.3981 v1 · 2013-10-15 · 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{DPN6V5LW2MJ4MGQUQMZE52NAED}

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	2026-05-18T03:10:25.528188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdbeaf576d313c61a1483324ee9a020dd553065c4d31f477832ab412a109573

Aliases

arxiv: 1310.3981 · arxiv_version: 1310.3981v1 · doi: 10.48550/arxiv.1310.3981 · pith_short_12: DPN6V5LW2MJ4 · pith_short_16: DPN6V5LW2MJ4MGQU · pith_short_8: DPN6V5LW

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/DPN6V5LW2MJ4MGQUQMZE52NAED \
  | 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: 1bdbeaf576d313c61a1483324ee9a020dd553065c4d31f477832ab412a109573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b5cc0b84abe6ca7ff63d14b95f8929b559ef7b595ed417fdae8039d946e4cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-15T09:45:51Z",
    "title_canon_sha256": "ad41b8517bd12d5986b69a575a7db971ba92bfc6a30c92877732f419160f6b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3981",
    "kind": "arxiv",
    "version": 1
  }
}