Pith Number

pith:3MCLPBK7

pith:2016:3MCLPBK7F56END6U6GOP2AUEV5

not attested not anchored not stored refs pending

Heat Flows on Time-dependent Metric Measure Spaces and Super-Ricci Flows

Eva Kopfer, Karl-Theodor Sturm

arxiv:1611.02570 v4 · 2016-11-08 · math.DG · math.AP · math.FA · 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{3MCLPBK7F56END6U6GOP2AUEV5}

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	2026-05-18T00:27:36.499142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db04b7855f2f7c468fd4f19cfd0284af649fd144ad46b3aed82703345df84b36

Aliases

arxiv: 1611.02570 · arxiv_version: 1611.02570v4 · doi: 10.48550/arxiv.1611.02570 · pith_short_12: 3MCLPBK7F56E · pith_short_16: 3MCLPBK7F56END6U · pith_short_8: 3MCLPBK7

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/3MCLPBK7F56END6U6GOP2AUEV5 \
  | 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: db04b7855f2f7c468fd4f19cfd0284af649fd144ad46b3aed82703345df84b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8aa3e65fb797d3490ebe6dc94d23099c82f823c0da4fd237b9871003e6c3b0d",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-08T15:54:45Z",
    "title_canon_sha256": "403dee5deb2dadb205b5f9db6007e4f3a3a26415b514de9c781611ca35fdc5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02570",
    "kind": "arxiv",
    "version": 4
  }
}