Pith Number

pith:DUPPEEKP

pith:2008:DUPPEEKPPEHIUZF3MRGQSPHC74

not attested not anchored not stored refs pending

Lowering topological entropy over subsets

Guohua Zhang, Wen Huang, Xiangdong Ye

arxiv:0811.4230 v2 · 2008-11-26 · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUPPEEKPPEHIUZF3MRGQSPHC74}

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	2026-05-18T04:18:53.489499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1ef2114f790e8a64bb644d093ce2ff2d7409f842cb505250be139e1922723d

Aliases

arxiv: 0811.4230 · arxiv_version: 0811.4230v2 · doi: 10.48550/arxiv.0811.4230 · pith_short_12: DUPPEEKPPEHI · pith_short_16: DUPPEEKPPEHIUZF3 · pith_short_8: DUPPEEKP

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/DUPPEEKPPEHIUZF3MRGQSPHC74 \
  | 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: 1d1ef2114f790e8a64bb644d093ce2ff2d7409f842cb505250be139e1922723d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3bb354648be32f86f15a8318458933bab50cf19aaef202c8e3413b569c3b9c",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-26T06:16:06Z",
    "title_canon_sha256": "693bcfd93c3cc33e70edd4f1158723d54fd5d733c85233c1ffd2807f28b84cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4230",
    "kind": "arxiv",
    "version": 2
  }
}