Pith Number

pith:PO3JZAGE

pith:2011:PO3JZAGENOPTKJNYWBSHGSHVX2

not attested not anchored not stored refs pending

Classification of 3-bridge spheres of 3-bridge arborescent links

Yeonhee Jang

arxiv:1107.1112 v1 · 2011-07-05 · 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{PO3JZAGENOPTKJNYWBSHGSHVX2}

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	2026-05-18T03:32:45.612714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb69c80c46b9f3525b8b0647348f5bea87620b087553c7300fb59c8e454c50a

Aliases

arxiv: 1107.1112 · arxiv_version: 1107.1112v1 · doi: 10.48550/arxiv.1107.1112 · pith_short_12: PO3JZAGENOPT · pith_short_16: PO3JZAGENOPTKJNY · pith_short_8: PO3JZAGE

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/PO3JZAGENOPTKJNYWBSHGSHVX2 \
  | 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: 7bb69c80c46b9f3525b8b0647348f5bea87620b087553c7300fb59c8e454c50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5cd13bd30504e8e948019387e9bf9df5b0e758ac1fa6770448e3ce53c09e212",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-05T01:25:21Z",
    "title_canon_sha256": "c9324ba09bbbd86b58bb4c5661d2f7f891d0b1ac64aaff5b289487c48d7c853d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1112",
    "kind": "arxiv",
    "version": 1
  }
}