Pith Number

pith:EU3PN7UW

pith:2012:EU3PN7UW442EWYH3KQMB77BSKC

not attested not anchored not stored refs pending

Perelman's Entropy Functional at Type I Singularities of the Ricci Flow

Carlo Mantegazza, Reto M\"uller

arxiv:1205.4143 v3 · 2012-05-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU3PN7UW442EWYH3KQMB77BSKC}

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	2026-05-18T01:30:26.188232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2536f6fe96e7344b60fb54181ffc3250a42c27b293034499f61f4f44a1ccf1cc

Aliases

arxiv: 1205.4143 · arxiv_version: 1205.4143v3 · doi: 10.48550/arxiv.1205.4143 · pith_short_12: EU3PN7UW442E · pith_short_16: EU3PN7UW442EWYH3 · pith_short_8: EU3PN7UW

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/EU3PN7UW442EWYH3KQMB77BSKC \
  | 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: 2536f6fe96e7344b60fb54181ffc3250a42c27b293034499f61f4f44a1ccf1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b724c6ca4d7bf36e02a3dbfe04aebfb2849e9a6d66da411e7fad6cec6f724bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-18T11:56:30Z",
    "title_canon_sha256": "b7908f97ac26ede5a389dbff415f861571fbabdf7093eca4546ece802e142988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4143",
    "kind": "arxiv",
    "version": 3
  }
}