Pith Number

pith:F7M4YMIE

pith:2009:F7M4YMIESIB76A2H46QPBL446R

not attested not anchored not stored refs pending

Recent Progress on Ricci Solitons

Huai-Dong Cao

arxiv:0908.2006 v1 · 2009-08-14 · 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{F7M4YMIESIB76A2H46QPBL446R}

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	2026-07-05T04:08:36.554169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd9cc31049203ff0347e7a0f0af9cf457ef29f699bf4b04105b30eef3c75da7

Aliases

arxiv: 0908.2006 · arxiv_version: 0908.2006v1 · doi: 10.48550/arxiv.0908.2006 · pith_short_12: F7M4YMIESIB7 · pith_short_16: F7M4YMIESIB76A2H · pith_short_8: F7M4YMIE

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/F7M4YMIESIB76A2H46QPBL446R \
  | 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: 2fd9cc31049203ff0347e7a0f0af9cf457ef29f699bf4b04105b30eef3c75da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683a8a6c5f58857cd6a4cf226f0a4c53b273c1f5394a15265832f71ff8dcc610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-08-14T02:53:06Z",
    "title_canon_sha256": "9af808a27716a44ca8175d2830fbbac6619f5b23e829fa98e6faf8ed3e4f6c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2006",
    "kind": "arxiv",
    "version": 1
  }
}