Pith Number

pith:K3OGS2B3

pith:2012:K3OGS2B3G3WQMMSGYJYRQNFNBZ

not attested not anchored not stored refs pending

Continuity of Ricci Flow Through Neck Pinch Singularities

Sajjad Lakzian

arxiv:1210.6872 v2 · 2012-10-25 · 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{K3OGS2B3G3WQMMSGYJYRQNFNBZ}

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	2026-05-18T00:10:14.822800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56dc69683b36ed063246c2711834ad0e75c2bc69874ed28fde8fec31f24b255b

Aliases

arxiv: 1210.6872 · arxiv_version: 1210.6872v2 · doi: 10.48550/arxiv.1210.6872 · pith_short_12: K3OGS2B3G3WQ · pith_short_16: K3OGS2B3G3WQMMSG · pith_short_8: K3OGS2B3

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/K3OGS2B3G3WQMMSGYJYRQNFNBZ \
  | 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: 56dc69683b36ed063246c2711834ad0e75c2bc69874ed28fde8fec31f24b255b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09971c57969518c49f898f437f2f8994f080a43cea32fa7e4a4aa4dc1b99930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-25T15:18:18Z",
    "title_canon_sha256": "5f2250a633abadb4aa6aaa36a385f2f2c0800b3c295be624c6966abf03394b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6872",
    "kind": "arxiv",
    "version": 2
  }
}