Pith Number

pith:T37RKJLU

pith:2001:T37RKJLUXHZGAUWLG33JPH76KP

not attested not anchored not stored refs pending

Linking numbers in rational homology 3-spheres, cyclic branched covers and infinite cyclic covers

Akira Yasuhara, Jozef H. Przytycki

arxiv:math/0111203 v1 · 2001-11-19 · 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{T37RKJLUXHZGAUWLG33JPH76KP}

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	2026-07-04T14:35:45.746097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eff152574b9f26052cb36f6979ffe53ccb98bb4c873c4dd610369aaa5c23a27

Aliases

arxiv: math/0111203 · arxiv_version: math/0111203v1 · doi: 10.48550/arxiv.math/0111203 · pith_short_12: T37RKJLUXHZG · pith_short_16: T37RKJLUXHZGAUWL · pith_short_8: T37RKJLU

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/T37RKJLUXHZGAUWLG33JPH76KP \
  | 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: 9eff152574b9f26052cb36f6979ffe53ccb98bb4c873c4dd610369aaa5c23a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee569c5817a89cd9307dd1de64fb64501e8a48c43572d888a0259add0d55180c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-11-19T07:02:40Z",
    "title_canon_sha256": "f7a045ec9a04ab73e24bcd7ef499839346cb4492c517b169563a1965419cc95f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111203",
    "kind": "arxiv",
    "version": 1
  }
}