Pith Number

pith:HX46B3BE

pith:2011:HX46B3BEDUFDX7ALDXIPR5BSX6

not attested not anchored not stored refs pending

Inclusion Ideals Associated to Uniformly Increasing Hypergraphs

Amina Inam, Azeem Haider, Imran Anwar, Sarfraz Ahmad

arxiv:1101.1781 v4 · 2011-01-10 · 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{HX46B3BEDUFDX7ALDXIPR5BSX6}

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	2026-05-18T03:13:22.118122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df9e0ec241d0a3bfc0b1dd0f8f432bf9cacb7605b4365aaa234c36364c618fc

Aliases

arxiv: 1101.1781 · arxiv_version: 1101.1781v4 · doi: 10.48550/arxiv.1101.1781 · pith_short_12: HX46B3BEDUFD · pith_short_16: HX46B3BEDUFDX7AL · pith_short_8: HX46B3BE

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/HX46B3BEDUFDX7ALDXIPR5BSX6 \
  | 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: 3df9e0ec241d0a3bfc0b1dd0f8f432bf9cacb7605b4365aaa234c36364c618fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114f9092434d92eff25dd7eb07ff68db60174eae4efc448603664abc3f09796c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-10T11:49:56Z",
    "title_canon_sha256": "95425393a718ec90d05529e485e18299e3b9286a58fef8720cf8c546a35eda5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1781",
    "kind": "arxiv",
    "version": 4
  }
}