Pith Number

pith:EHOUVTNR

pith:2015:EHOUVTNRL5AARERWBCONKV3B6Q

not attested not anchored not stored refs pending

A generalization of Kung's theorem

Hugues Verdure, Keisuke Shiromoto, Trygve Johnsen

arxiv:1505.05628 v2 · 2015-05-21 · cs.IT · cs.DM · 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{EHOUVTNRL5AARERWBCONKV3B6Q}

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	2026-05-18T01:31:13.658338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21dd4acdb15f40089236089cd55761f40401d8e3d16ce59919861fcb6c2c3519

Aliases

arxiv: 1505.05628 · arxiv_version: 1505.05628v2 · doi: 10.48550/arxiv.1505.05628 · pith_short_12: EHOUVTNRL5AA · pith_short_16: EHOUVTNRL5AARERW · pith_short_8: EHOUVTNR

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/EHOUVTNRL5AARERWBCONKV3B6Q \
  | 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: 21dd4acdb15f40089236089cd55761f40401d8e3d16ce59919861fcb6c2c3519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec85d361fb57eee01975f8778c5a74acb4946846786f7261f17ec6f15a949762",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-21T07:31:39Z",
    "title_canon_sha256": "ce4ba5a12c25a49a84bcd3bc68218683c03dd27c4b4555704a1efb3ed5c5cbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05628",
    "kind": "arxiv",
    "version": 2
  }
}