Pith Number

pith:A4VEV3HJ

pith:2013:A4VEV3HJZU4YP3OTB5SHBF6WM4

not attested not anchored not stored refs pending

Non-concordant links with homology cobordant zero framed surgery manifolds

Jae Choon Cha, Mark Powell

arxiv:1309.5051 v2 · 2013-09-19 · 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{A4VEV3HJZU4YP3OTB5SHBF6WM4}

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	2026-05-18T02:31:36.157206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072a4aece9cd3987edd30f647097d6671a4ad10c9bdb9811e95afc7534fe3dae

Aliases

arxiv: 1309.5051 · arxiv_version: 1309.5051v2 · doi: 10.48550/arxiv.1309.5051 · pith_short_12: A4VEV3HJZU4Y · pith_short_16: A4VEV3HJZU4YP3OT · pith_short_8: A4VEV3HJ

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/A4VEV3HJZU4YP3OTB5SHBF6WM4 \
  | 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: 072a4aece9cd3987edd30f647097d6671a4ad10c9bdb9811e95afc7534fe3dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78747db115a7eabd034ebb151dfb8b595b42e695fda2ce739c2850589bc5cc8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-19T17:04:02Z",
    "title_canon_sha256": "aeedb8af034ed59231b1dba39cc76a2939ee56c9f1095ca4e7e5450c6db94de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5051",
    "kind": "arxiv",
    "version": 2
  }
}