Pith Number

pith:WR7ZZ4JB

pith:2026:WR7ZZ4JB4PCF323M5AINQAK2ZG

not attested not anchored not stored refs pending

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature

Heng Zhang, Jiangcheng You

arxiv:2607.25015 v1 · 2026-07-27 · 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{WR7ZZ4JB4PCF323M5AINQAK2ZG}

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	2026-07-29T00:24:57.810818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47f9cf121e3c45deb6ce810d8015ac9ad9aef41f3a114049dc7aed0ab45c883

Aliases

arxiv: 2607.25015 · arxiv_version: 2607.25015v1 · doi: 10.48550/arxiv.2607.25015 · pith_short_12: WR7ZZ4JB4PCF · pith_short_16: WR7ZZ4JB4PCF323M · pith_short_8: WR7ZZ4JB

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/WR7ZZ4JB4PCF323M5AINQAK2ZG \
  | 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: b47f9cf121e3c45deb6ce810d8015ac9ad9aef41f3a114049dc7aed0ab45c883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b3b1bad241fb67a136844d40ce9946a3a33feb2661b6c694b00f08e61afb53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-27T19:12:52Z",
    "title_canon_sha256": "0611f8738f2602c5e0990fb00e0bd8d91bbb172d75557fb28bd11e716acf0ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25015",
    "kind": "arxiv",
    "version": 1
  }
}