Pith Number

pith:C7OQKEOM

pith:2011:C7OQKEOMRX3O5U5JCWRHHO5YSY

not attested not anchored not stored refs pending

On the conditions to extend Ricci flow(III)

Bing Wang, Xiuxiong Chen

arxiv:1107.5110 v2 · 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{C7OQKEOMRX3O5U5JCWRHHO5YSY}

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	2026-05-18T04:12:44.257336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17dd0511cc8df6eed3a915a273bbb89625c874c00cb99e7accc3d4e781a8ea1c

Aliases

arxiv: 1107.5110 · arxiv_version: 1107.5110v2 · doi: 10.48550/arxiv.1107.5110 · pith_short_12: C7OQKEOMRX3O · pith_short_16: C7OQKEOMRX3O5U5J · pith_short_8: C7OQKEOM

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/C7OQKEOMRX3O5U5JCWRHHO5YSY \
  | 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: 17dd0511cc8df6eed3a915a273bbb89625c874c00cb99e7accc3d4e781a8ea1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012b4d1e84ee90cdef9e346c3085a6ea300aba46f6b6fb024fd2aaa941f72e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T03:27:27Z",
    "title_canon_sha256": "c60a8ac31f15b9fffbd8886bafe78a3a665fa2ed8ead4e7de4c8ecaa066f6434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5110",
    "kind": "arxiv",
    "version": 2
  }
}