Pith Number

pith:VWDYDO7S

pith:2025:VWDYDO7S7JIJH7UFD7VO2ABZ7N

not attested not anchored not stored refs pending

Link concordance implies link homotopy

Maciej Borodzik, Mark Powell, Peter Teichner

arxiv:2503.04348 v1 · 2025-03-06 · 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{VWDYDO7S7JIJH7UFD7VO2ABZ7N}

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.

Cited by

1 paper in Pith

Milnor invariants and thickness of spherical links

Receipt and verification

First computed	2026-07-05T10:56:16.241895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8781bbf2fa5093fe851feaed0039fb4c2db8d085cddaf724292386de94efc3

Aliases

arxiv: 2503.04348 · arxiv_version: 2503.04348v1 · doi: 10.48550/arxiv.2503.04348 · pith_short_12: VWDYDO7S7JIJ · pith_short_16: VWDYDO7S7JIJH7UF · pith_short_8: VWDYDO7S

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/VWDYDO7S7JIJH7UFD7VO2ABZ7N \
  | 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: ad8781bbf2fa5093fe851feaed0039fb4c2db8d085cddaf724292386de94efc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d2481acb3c8d8d26ba05320b809a13b848f36d74973b7464679f9ddda7edbd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-06T11:43:46Z",
    "title_canon_sha256": "79a5a8cc799e7a964ccf5211f4128a628d220c7b0bffd81b40ed2bcce447181a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04348",
    "kind": "arxiv",
    "version": 1
  }
}