Pith Number

pith:JU25IC5H

pith:2010:JU25IC5HAAH4ZJPG76FUU4KJ65

not attested not anchored not stored refs pending

Heat flow on Alexandrov spaces

Kazumasa Kuwada, Nicola Gigli, Shin-ichi Ohta

arxiv:1008.1319 v3 · 2010-08-07 · math.DG · math.AP · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JU25IC5HAAH4ZJPG76FUU4KJ65}

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	2026-05-18T03:34:14.370840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d35d40ba7000fcca5e6ff8b4a7149f7503ac7b6746f80029282d3d769bdb5c0

Aliases

arxiv: 1008.1319 · arxiv_version: 1008.1319v3 · doi: 10.48550/arxiv.1008.1319 · pith_short_12: JU25IC5HAAH4 · pith_short_16: JU25IC5HAAH4ZJPG · pith_short_8: JU25IC5H

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/JU25IC5HAAH4ZJPG76FUU4KJ65 \
  | 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: 4d35d40ba7000fcca5e6ff8b4a7149f7503ac7b6746f80029282d3d769bdb5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da38c155f194062c4f270f221b4ebcf3fd0f0d982c0d7984597505ad9ac1ff2",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-07T10:40:52Z",
    "title_canon_sha256": "bc7e072fd165266abb8f89bb7329fd2cc46659b1e8a6b5b1739bf572b5e6156d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1319",
    "kind": "arxiv",
    "version": 3
  }
}