Pith Number

pith:LLK6R2M4

pith:2013:LLK6R2M4IG7N2WGERASPWJQC62

not attested not anchored not stored refs pending

Measuring Distance between Reeb Graphs

Ulrich Bauer, Xiaoyin Ge, Yusu Wang

arxiv:1307.2839 v2 · 2013-07-10 · cs.CG · math.AT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLK6R2M4IG7N2WGERASPWJQC62}

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	2026-05-18T01:03:44.756273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad5e8e99c41bedd58c48824fb2602f683b2d2c05e9bbfadb0899530bcbb7745

Aliases

arxiv: 1307.2839 · arxiv_version: 1307.2839v2 · doi: 10.48550/arxiv.1307.2839 · pith_short_12: LLK6R2M4IG7N · pith_short_16: LLK6R2M4IG7N2WGE · pith_short_8: LLK6R2M4

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/LLK6R2M4IG7N2WGERASPWJQC62 \
  | 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: 5ad5e8e99c41bedd58c48824fb2602f683b2d2c05e9bbfadb0899530bcbb7745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "becf41f8c33db02934699adbdc1dd1df982e0a349528930c0366bad18f4f1835",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-07-10T16:07:04Z",
    "title_canon_sha256": "1b8afe66cb3317e71c3a3c532e016f788c20372859023f6eb04c08714bb5267f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2839",
    "kind": "arxiv",
    "version": 2
  }
}