Pith Number

pith:CJHQKU67

pith:2019:CJHQKU67MZRKK7CKAKCEHTCO5H

not attested not anchored not stored refs pending

Region crossing change on surfaces

Jiawei Cheng, Jieyao Zheng, Jinwen Xu, Zhiyun Cheng

arxiv:1908.06864 v1 · 2019-08-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJHQKU67MZRKK7CKAKCEHTCO5H}

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	2026-05-26T01:03:06.721496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124f0553df6662a57c4a028443cc4ee9e64d777c24c1be71a149ab768dd0eb04

Aliases

arxiv: 1908.06864 · arxiv_version: 1908.06864v1 · doi: 10.48550/arxiv.1908.06864 · pith_short_12: CJHQKU67MZRK · pith_short_16: CJHQKU67MZRKK7CK · pith_short_8: CJHQKU67

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/CJHQKU67MZRKK7CKAKCEHTCO5H \
  | 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: 124f0553df6662a57c4a028443cc4ee9e64d777c24c1be71a149ab768dd0eb04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3b96d86704060d1fdecf32e264ce1ea7954bd3a5197a3b25dd76c496b3da09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-19T15:01:50Z",
    "title_canon_sha256": "3ada0b984ce62cc94f1035af86213991732810520f873a9f85e329a7cb34fa89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06864",
    "kind": "arxiv",
    "version": 1
  }
}