Pith Number

pith:44EMINT5

pith:2025:44EMINT53O2BMJVZ4Q5STTOQD4

not attested not anchored not stored refs pending

When is arc crossing change an unknotting operation?

Jingze Song, Qian Liao, Zhiyun Cheng

arxiv:2509.08341 v1 · 2025-09-10 · 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{44EMINT53O2BMJVZ4Q5STTOQD4}

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	2026-07-05T12:08:28.173653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e708c4367ddbb41626b9e43b29cdd01f394d380a71129cf4214439b9a299edce

Aliases

arxiv: 2509.08341 · arxiv_version: 2509.08341v1 · doi: 10.48550/arxiv.2509.08341 · pith_short_12: 44EMINT53O2B · pith_short_16: 44EMINT53O2BMJVZ · pith_short_8: 44EMINT5

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/44EMINT53O2BMJVZ4Q5STTOQD4 \
  | 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: e708c4367ddbb41626b9e43b29cdd01f394d380a71129cf4214439b9a299edce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7b5c7acecb3d06a0cbf9456435737afb706856a39214c4a3502bec3e99d54d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-09-10T07:27:56Z",
    "title_canon_sha256": "f6eb28c3c63e5153fef5bd9968600ebf4c9f0bf12594ec4183b7d30327143407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08341",
    "kind": "arxiv",
    "version": 1
  }
}