Pith Number

pith:2PI4RZKJ

pith:2006:2PI4RZKJIFVQFDGBJIYL6US24L

not attested not anchored not stored refs pending

Asymptotically Flat Ricci Flows

E. Woolgar, T. Oliynyk

arxiv:math/0607438 v2 · 2006-07-18 · math.DG · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PI4RZKJIFVQFDGBJIYL6US24L}

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	2026-05-18T04:08:53.360438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d1c8e549416b028cc14a30bf525ae2ddedee4352c4e46d69faad234b388a0b

Aliases

arxiv: math/0607438 · arxiv_version: math/0607438v2 · doi: 10.48550/arxiv.math/0607438 · pith_short_12: 2PI4RZKJIFVQ · pith_short_16: 2PI4RZKJIFVQFDGB · pith_short_8: 2PI4RZKJ

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/2PI4RZKJIFVQFDGBJIYL6US24L \
  | 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: d3d1c8e549416b028cc14a30bf525ae2ddedee4352c4e46d69faad234b388a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592e50fa8e431ec9eb1d328e826a1648d279fea95cb2b6f177c30d0a6339bf75",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-18T20:11:32Z",
    "title_canon_sha256": "d17f5b35b4b335d94e9d62d97570688a53b4b5eeba499227e2d010c8d0e57124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607438",
    "kind": "arxiv",
    "version": 2
  }
}