Pith Number

pith:2RG6XBUM

pith:2025:2RG6XBUMJVN5BRD26X5RFVD5SY

not attested not anchored not stored refs pending

Local singularities of compact multiply warped Ricci flow solutions

Dan Knopf, James Isenberg, Natasa Sesum, Zilu Ma

arxiv:2502.08500 v1 · 2025-02-12 · 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{2RG6XBUMJVN5BRD26X5RFVD5SY}

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	2026-07-05T10:13:23.902341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44deb868c4d5bd0c47af5fb12d47d963e0e5ff3b8ef42ca057d3a87b4c749c6

Aliases

arxiv: 2502.08500 · arxiv_version: 2502.08500v1 · doi: 10.48550/arxiv.2502.08500 · pith_short_12: 2RG6XBUMJVN5 · pith_short_16: 2RG6XBUMJVN5BRD2 · pith_short_8: 2RG6XBUM

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/2RG6XBUMJVN5BRD26X5RFVD5SY \
  | 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: d44deb868c4d5bd0c47af5fb12d47d963e0e5ff3b8ef42ca057d3a87b4c749c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5a8ac481dba337a669464e0b041f7d57d67de3a6f5a575c58f99b0713de187",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-12T15:34:01Z",
    "title_canon_sha256": "12989600524250f1eb6ec79e78523df18c9369c1cc814c2a135bc153e235df72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08500",
    "kind": "arxiv",
    "version": 1
  }
}