Pith Number

pith:3Q5VFNEL

pith:2012:3Q5VFNEL2ANTPMU32XI2DTOX3B

not attested not anchored not stored refs pending

An Ancient Solution of The Ricci Flow in Dimension 4 Converging to the Euclidean Schwarzschild Metric

Ryosuke Takahashi

arxiv:1206.5873 v1 · 2012-06-26 · 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{3Q5VFNEL2ANTPMU32XI2DTOX3B}

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	2026-05-18T03:52:37.868799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3b52b48bd01b37b29bd5d1a1cdd7d847bf729efcad5edd9ef81e75dd1a80b7

Aliases

arxiv: 1206.5873 · arxiv_version: 1206.5873v1 · doi: 10.48550/arxiv.1206.5873 · pith_short_12: 3Q5VFNEL2ANT · pith_short_16: 3Q5VFNEL2ANTPMU3 · pith_short_8: 3Q5VFNEL

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/3Q5VFNEL2ANTPMU32XI2DTOX3B \
  | 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: dc3b52b48bd01b37b29bd5d1a1cdd7d847bf729efcad5edd9ef81e75dd1a80b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ddf191756a9bff295f972cb181497da9f9aee072b78e3f5722ece055877dba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-26T01:35:18Z",
    "title_canon_sha256": "2ccb39051c27f3fd704cf9c6e01924816ebb1c1d25cc05bf1b459590ce438070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5873",
    "kind": "arxiv",
    "version": 1
  }
}