Pith Number

pith:GVVARXRJ

pith:2018:GVVARXRJDKTY5PPY5RJOBJZH37

not attested not anchored not stored refs pending

A note on Perelman's no shrinking breather theorem

Yongjia Zhang

arxiv:1803.03660 v2 · 2018-03-09 · 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{GVVARXRJDKTY5PPY5RJOBJZH37}

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	2026-05-18T00:17:30.390111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356a08de291aa78ebdf8ec52e0a727dff0c8f3530fcfd9a6251ff88d6975be1a

Aliases

arxiv: 1803.03660 · arxiv_version: 1803.03660v2 · doi: 10.48550/arxiv.1803.03660 · pith_short_12: GVVARXRJDKTY · pith_short_16: GVVARXRJDKTY5PPY · pith_short_8: GVVARXRJ

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/GVVARXRJDKTY5PPY5RJOBJZH37 \
  | 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: 356a08de291aa78ebdf8ec52e0a727dff0c8f3530fcfd9a6251ff88d6975be1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804deb5a900be7194e5e19d13789bc241d87e98c2d378c253b37c078fdf1f4ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-09T19:14:23Z",
    "title_canon_sha256": "084d44a4bbe233dc7e5665a0aee9e403c5f71206b72e0560c39466ab8f5e4b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03660",
    "kind": "arxiv",
    "version": 2
  }
}