Pith Number

pith:IHPZ2XW4

pith:2013:IHPZ2XW4HSMK2NLKU6LWVC7VYE

not attested not anchored not stored refs pending

A proof of extension conjecture

Yang Han

arxiv:1309.0304 v4 · 2013-09-02 · math.RT · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHPZ2XW4HSMK2NLKU6LWVC7VYE}

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	2026-05-18T02:48:17.652341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41df9d5edc3c98ad356aa7976a8bf5c104d540af3e0bc27269e718be685d48e5

Aliases

arxiv: 1309.0304 · arxiv_version: 1309.0304v4 · doi: 10.48550/arxiv.1309.0304 · pith_short_12: IHPZ2XW4HSMK · pith_short_16: IHPZ2XW4HSMK2NLK · pith_short_8: IHPZ2XW4

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/IHPZ2XW4HSMK2NLKU6LWVC7VYE \
  | 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: 41df9d5edc3c98ad356aa7976a8bf5c104d540af3e0bc27269e718be685d48e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224212fbc1ae0e3bba4b731b3a188dbb3838d0146fa59afe8104d973692ebd2b",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-02T05:19:33Z",
    "title_canon_sha256": "6960a3e85511f91ab3e169cabec61cbbcf44ac5c3a7cf6f905b4787274b685d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0304",
    "kind": "arxiv",
    "version": 4
  }
}