Pith Number

pith:AOXTQIOM

pith:2011:AOXTQIOMR452XG3J23BOYQ3SMG

not attested not anchored not stored refs pending

On the conditions to extend Ricci flow(II)

Bing Wang

arxiv:1107.5107 v1 · 2011-07-26 · 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{AOXTQIOMR452XG3J23BOYQ3SMG}

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	2026-05-18T04:16:53.029975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03af3821cc8f3bab9b69d6c2ec437261b8f17384b42b8940f193bdbb7804878c

Aliases

arxiv: 1107.5107 · arxiv_version: 1107.5107v1 · doi: 10.48550/arxiv.1107.5107 · pith_short_12: AOXTQIOMR452 · pith_short_16: AOXTQIOMR452XG3J · pith_short_8: AOXTQIOM

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/AOXTQIOMR452XG3J23BOYQ3SMG \
  | 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: 03af3821cc8f3bab9b69d6c2ec437261b8f17384b42b8940f193bdbb7804878c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6f6f9b03e001f9a6aef3f7f23ad44d1f24e73e24773b38b1d26cf0583d3728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T03:15:28Z",
    "title_canon_sha256": "988fb20347eaf0bd34209114f11defa1de3fffd08fd143835dc35f1f1aa8f87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5107",
    "kind": "arxiv",
    "version": 1
  }
}