Pith Number

pith:TZV3HASC

pith:2011:TZV3HASCU3MM5J54EJ6JOMCPWG

not attested not anchored not stored refs pending

Bounds on the regularity and projective dimension of ideals associated to graphs

Craig Huneke, Hailong Dao, Jay Schweig

arxiv:1110.2570 v1 · 2011-10-12 · math.AC · 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{TZV3HASCU3MM5J54EJ6JOMCPWG}

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	2026-05-18T04:11:08.015147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6bb38242a6d8cea7bc227c97304fb18c2d3ec7d5a474a31ef15ae7d402d595

Aliases

arxiv: 1110.2570 · arxiv_version: 1110.2570v1 · doi: 10.48550/arxiv.1110.2570 · pith_short_12: TZV3HASCU3MM · pith_short_16: TZV3HASCU3MM5J54 · pith_short_8: TZV3HASC

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/TZV3HASCU3MM5J54EJ6JOMCPWG \
  | 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: 9e6bb38242a6d8cea7bc227c97304fb18c2d3ec7d5a474a31ef15ae7d402d595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af6aca8d73cb49aa499768368cc89638ab232d2c83ed206cdadcb6caceb1001",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-12T05:41:56Z",
    "title_canon_sha256": "80b72c9d35fdcfbc39b9ca46d3c55712bd5057880453deebddab7324a2260c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2570",
    "kind": "arxiv",
    "version": 1
  }
}