Pith Number

pith:C7J3OXCN

pith:2013:C7J3OXCN54SOFRBYX5CBAIJFPD

not attested not anchored not stored refs pending

Critical Graphs in Index Coding

Amin Gohari, Amirbehshad Shahrasbi, Mehrdad Tahmasbi

arxiv:1312.0132 v2 · 2013-11-30 · cs.IT · cs.DM · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7J3OXCN54SOFRBYX5CBAIJFPD}

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	2026-05-18T02:54:21.072772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d3b75c4def24e2c438bf4410212578ef9df7e91deb5383b87997fd4fc2970c

Aliases

arxiv: 1312.0132 · arxiv_version: 1312.0132v2 · doi: 10.48550/arxiv.1312.0132 · pith_short_12: C7J3OXCN54SO · pith_short_16: C7J3OXCN54SOFRBY · pith_short_8: C7J3OXCN

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/C7J3OXCN54SOFRBYX5CBAIJFPD \
  | 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: 17d3b75c4def24e2c438bf4410212578ef9df7e91deb5383b87997fd4fc2970c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f175afab68abbb29d69bddb5f624acc17e25cd8c2a51f061c3050ded796211c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-30T17:46:54Z",
    "title_canon_sha256": "c3f4bd397c9b8c3612031e21709995df7f305f904f79ffd42733b3feaf2ee48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0132",
    "kind": "arxiv",
    "version": 2
  }
}