Pith Number

pith:TR4RJ4LL

pith:2010:TR4RJ4LLXG4G2ALHNP6JB2NKND

not attested not anchored not stored refs pending

Perfect Omniscience, Perfect Secrecy and Steiner Tree Packing

Prakash Narayan, Sirin Nitinawarat

arxiv:1008.1079 v1 · 2010-08-05 · cs.IT · math.CO · 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{TR4RJ4LLXG4G2ALHNP6JB2NKND}

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	2026-05-18T04:42:34.153793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7914f16bb9b86d01676bfc90e9aa68ccd737840ce986ee297460cef9d9a71d

Aliases

arxiv: 1008.1079 · arxiv_version: 1008.1079v1 · doi: 10.48550/arxiv.1008.1079 · pith_short_12: TR4RJ4LLXG4G · pith_short_16: TR4RJ4LLXG4G2ALH · pith_short_8: TR4RJ4LL

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/TR4RJ4LLXG4G2ALHNP6JB2NKND \
  | 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: 9c7914f16bb9b86d01676bfc90e9aa68ccd737840ce986ee297460cef9d9a71d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac449ae0632f051e3bbb4a952e00eac8fcbc7338b228e0fc39038e6600f4271e",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-08-05T20:34:33Z",
    "title_canon_sha256": "b10b915b485e16743261cbb6ff32f1cf7128c83d124309e6fa3bf1e94d0db332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1079",
    "kind": "arxiv",
    "version": 1
  }
}