Pith Number

pith:53IG2SBY

pith:2009:53IG2SBYHEDPD5JF5XRVC6WIYH

not attested not anchored not stored refs pending

An update on the Hirsch conjecture

Edward D. Kim, Francisco Santos

arxiv:0907.1186 v2 · 2009-07-07 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53IG2SBYHEDPD5JF5XRVC6WIYH}

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	2026-05-18T03:08:48.063098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed06d48383906f1f525ede3517ac8c1e8512f4448ae4e5aee686d5f71544ad8

Aliases

arxiv: 0907.1186 · arxiv_version: 0907.1186v2 · doi: 10.48550/arxiv.0907.1186 · pith_short_12: 53IG2SBYHEDP · pith_short_16: 53IG2SBYHEDPD5JF · pith_short_8: 53IG2SBY

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/53IG2SBYHEDPD5JF5XRVC6WIYH \
  | 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: eed06d48383906f1f525ede3517ac8c1e8512f4448ae4e5aee686d5f71544ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbcfacbeb5e2fdc181407c3c1edb167481f15aa66d92f0559b910acdb05f35f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-07T10:19:35Z",
    "title_canon_sha256": "70856a00b268d24398860e09c1fe7a12d4e72fa42ddb75309ffdd0c40ac90d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1186",
    "kind": "arxiv",
    "version": 2
  }
}