Pith Number

pith:3RZJCB7E

pith:2017:3RZJCB7EJA2EBKSJHXGXYFFOKJ

not attested not anchored not stored refs pending

On the spectrum of hypergraphs

Anirban Banerjee

arxiv:1711.09356 v3 · 2017-11-26 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RZJCB7EJA2EBKSJHXGXYFFOKJ}

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	2026-05-17T23:50:07.481370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc729107e4483440aa493dcd7c14ae527bd0ad7a7dd076df2386bf91ec22a41b

Aliases

arxiv: 1711.09356 · arxiv_version: 1711.09356v3 · doi: 10.48550/arxiv.1711.09356 · pith_short_12: 3RZJCB7EJA2E · pith_short_16: 3RZJCB7EJA2EBKSJ · pith_short_8: 3RZJCB7E

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/3RZJCB7EJA2EBKSJHXGXYFFOKJ \
  | 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: dc729107e4483440aa493dcd7c14ae527bd0ad7a7dd076df2386bf91ec22a41b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498047988ae1b2635caf883fe4773081bc88f2f568142e6008d3a7c8b4ca5941",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-26T09:42:37Z",
    "title_canon_sha256": "5ae1c830a75a8b4a2f0e15f7ffeaaff637c2f0a9d4ab4f48c608b6e6e9241618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09356",
    "kind": "arxiv",
    "version": 3
  }
}