Pith Number

pith:3PVFHAWT

pith:2007:3PVFHAWTEFAK2F7DLEZBEQG2YZ

not attested not anchored not stored refs pending

Recursive Structure and Bandwidth of Hales-Numbered Hypercube

Xiaohan Wang, Xiaolin Wu

arxiv:0708.3628 v1 · 2007-08-27 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PVFHAWTEFAK2F7DLEZBEQG2YZ}

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	2026-07-04T15:03:50.805203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbea5382d32140ad17e359321240dac64b9e90a5b7a59c55d310b8e8fe3a81e9

Aliases

arxiv: 0708.3628 · arxiv_version: 0708.3628v1 · doi: 10.48550/arxiv.0708.3628 · pith_short_12: 3PVFHAWTEFAK · pith_short_16: 3PVFHAWTEFAK2F7D · pith_short_8: 3PVFHAWT

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/3PVFHAWTEFAK2F7DLEZBEQG2YZ \
  | 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: dbea5382d32140ad17e359321240dac64b9e90a5b7a59c55d310b8e8fe3a81e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a794382d6728ccb54cccddc7d373334b67c5aa7a398ad3bf10c494dfc85a3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-08-27T15:24:39Z",
    "title_canon_sha256": "41c11a78852ab04f12506f7a7a994a3a2b4abe6421a7f4c9821cc8decd5ea0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3628",
    "kind": "arxiv",
    "version": 1
  }
}