Pith Number

pith:UWZOJVXW

pith:2017:UWZOJVXWF52YFPSXD3PYRYE5BK

not attested not anchored not stored refs pending

A Realization of Thurstons Geometrization: Discrete Ricci Flow with Surgery

Paul M. Alsing, Shing-Tung Yau, Warner A. Miller

arxiv:1709.08494 v1 · 2017-09-21 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWZOJVXWF52YFPSXD3PYRYE5BK}

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	2026-05-18T00:34:25.475006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b2e4d6f62f7582be571edf88e09d0ab345faba1d535912cf0ac2b0a84c6c4d

Aliases

arxiv: 1709.08494 · arxiv_version: 1709.08494v1 · doi: 10.48550/arxiv.1709.08494 · pith_short_12: UWZOJVXWF52Y · pith_short_16: UWZOJVXWF52YFPSX · pith_short_8: UWZOJVXW

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/UWZOJVXWF52YFPSXD3PYRYE5BK \
  | 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: a5b2e4d6f62f7582be571edf88e09d0ab345faba1d535912cf0ac2b0a84c6c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18275df5917952f87cbe3bd8f16b554cfe27be95272777f2ed77b5364a2ba43d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-21T20:49:36Z",
    "title_canon_sha256": "9ac02bcb5d6b8c4d622c692d493e1ec55c8aae70912fe0b7f634d44ff629deee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08494",
    "kind": "arxiv",
    "version": 1
  }
}