Pith Number

pith:4ZVYYQAN

pith:2010:4ZVYYQANIDCOI6ED22PRQHKQFS

not attested not anchored not stored refs pending

Han's Bijection via Permutation Codes

Neil J.Y. Fan, Teresa X.S. Li, William Y.C. Chen

arxiv:1004.3202 v2 · 2010-04-19 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZVYYQANIDCOI6ED22PRQHKQFS}

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	2026-05-18T04:41:16.199436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66b8c400d40c4e47883d69f181d502c934d6feb20a846be4e384ae07302865d

Aliases

arxiv: 1004.3202 · arxiv_version: 1004.3202v2 · doi: 10.48550/arxiv.1004.3202 · pith_short_12: 4ZVYYQANIDCO · pith_short_16: 4ZVYYQANIDCOI6ED · pith_short_8: 4ZVYYQAN

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/4ZVYYQANIDCOI6ED22PRQHKQFS \
  | 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: e66b8c400d40c4e47883d69f181d502c934d6feb20a846be4e384ae07302865d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d9a8f1f5ec979f0ff0d89e591c5fe2fe6771c6bdf44203f3517d7c9f527d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-19T14:15:39Z",
    "title_canon_sha256": "875df23b597155ac0984947758e5d54551268a7da27eb48871eb65bf854aebb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3202",
    "kind": "arxiv",
    "version": 2
  }
}