Pith Number

pith:OVBWRPCC

pith:2012:OVBWRPCC64ZWROGY3IIAZXH3YO

not attested not anchored not stored refs pending

Lowering topological entropy over subsets revisited

Guohua Zhang, Wen Huang, Xiangdong Ye

arxiv:1206.0518 v2 · 2012-06-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVBWRPCC64ZWROGY3IIAZXH3YO}

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	2026-05-18T03:20:32.851596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754368bc42f73368b8d8da100cdcfbc3bc121ba7fbca6063f81986c10b52d110

Aliases

arxiv: 1206.0518 · arxiv_version: 1206.0518v2 · doi: 10.48550/arxiv.1206.0518 · pith_short_12: OVBWRPCC64ZW · pith_short_16: OVBWRPCC64ZWROGY · pith_short_8: OVBWRPCC

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/OVBWRPCC64ZWROGY3IIAZXH3YO \
  | 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: 754368bc42f73368b8d8da100cdcfbc3bc121ba7fbca6063f81986c10b52d110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea909e8183f3e817523b80da04040a6c6f77348859013f9c7d9e6166255b0a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-04T05:06:51Z",
    "title_canon_sha256": "4492e8d403ae51814315ad8e6a8b97c1285faa03a2a6214b163912da96b50680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0518",
    "kind": "arxiv",
    "version": 2
  }
}