Pith Number

pith:ECPNTYPX

pith:2002:ECPNTYPX7C3YIQBYQOGOSECG4E

not attested not anchored not stored refs pending

Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates

David Glickenstein

arxiv:math/0211191 v3 · 2002-11-12 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECPNTYPX7C3YIQBYQOGOSECG4E}

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	2026-05-18T02:38:00.529523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

209ed9e1f7f8b7844038838ce91046e13bbc2675396ec2681c8732e594ea389a

Aliases

arxiv: math/0211191 · arxiv_version: math/0211191v3 · doi: 10.48550/arxiv.math/0211191 · pith_short_12: ECPNTYPX7C3Y · pith_short_16: ECPNTYPX7C3YIQBY · pith_short_8: ECPNTYPX

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/ECPNTYPX7C3YIQBYQOGOSECG4E \
  | 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: 209ed9e1f7f8b7844038838ce91046e13bbc2675396ec2681c8732e594ea389a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a4bc718ef4e28faa3eb02d816d916f55126d8079d9a74b4de6e433923158f8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-11-12T17:54:48Z",
    "title_canon_sha256": "6fa8f4f8a1509d6a8f1fd8ee194f3faa03ed05f9050340ca121eae3636b1479e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211191",
    "kind": "arxiv",
    "version": 3
  }
}