Pith Number

pith:DXJ5II22

pith:2010:DXJ5II22PTRON2EV3FKZQ4LTF7

not attested not anchored not stored refs pending

Rational knot concordance and homology cobordism

Bridget D. Franklin, Peter D. Horn, Tim D. Cochran

arxiv:1011.4901 v2 · 2010-11-22 · 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{DXJ5II22PTRON2EV3FKZQ4LTF7}

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	2026-05-18T04:34:45.655148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd3d4235a7ce2e6e895d9559871732fd8f04ffd3fc749551f3cea57e5aaca8e

Aliases

arxiv: 1011.4901 · arxiv_version: 1011.4901v2 · doi: 10.48550/arxiv.1011.4901 · pith_short_12: DXJ5II22PTRO · pith_short_16: DXJ5II22PTRON2EV · pith_short_8: DXJ5II22

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/DXJ5II22PTRON2EV3FKZQ4LTF7 \
  | 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: 1dd3d4235a7ce2e6e895d9559871732fd8f04ffd3fc749551f3cea57e5aaca8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763e44b93d946c1c52df677fac3e83ea926f275ae0b1de6f99086eae6ce59ed6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-22T18:33:19Z",
    "title_canon_sha256": "0b694af944c158030a0f99be66db0de27f0f540a826499056cf590bfe68750b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4901",
    "kind": "arxiv",
    "version": 2
  }
}