Pith Number

pith:U3CCH4XN

pith:2021:U3CCH4XN3G5WPDTIU7HB6UIBHS

not attested not anchored not stored refs pending

Rigidity of the round cylinders in Ricci shrinkers

Bing Wang, Yu Li

arxiv:2108.03622 v2 · 2021-08-08 · 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{U3CCH4XN3G5WPDTIU7HB6UIBHS}

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	2026-07-05T05:55:56.014220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c423f2edd9bb678e68a7ce1f51013ca9475c00161a96e002c33a61c611b79f

Aliases

arxiv: 2108.03622 · arxiv_version: 2108.03622v2 · doi: 10.48550/arxiv.2108.03622 · pith_short_12: U3CCH4XN3G5W · pith_short_16: U3CCH4XN3G5WPDTI · pith_short_8: U3CCH4XN

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/U3CCH4XN3G5WPDTIU7HB6UIBHS \
  | 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: a6c423f2edd9bb678e68a7ce1f51013ca9475c00161a96e002c33a61c611b79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f999a1abf7fbc97dfa9a5e72c1de9d471821fd9c282dbef1f133751c5a2ce1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-08-08T12:30:55Z",
    "title_canon_sha256": "368e6ffa5ad0d20a78d913d25766df2cb06a282ffaadbc64b05c912518303901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03622",
    "kind": "arxiv",
    "version": 2
  }
}