Pith Number

pith:DJ3OVXLS

pith:2015:DJ3OVXLSHVVZRUKQQLAKCBJ3ZX

not attested not anchored not stored refs pending

A combinatorial proof of the homology cobordism classification of lens spaces

Margaret Doig, Stephan Wehrli

arxiv:1505.06970 v1 · 2015-05-26 · 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{DJ3OVXLSHVVZRUKQQLAKCBJ3ZX}

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	2026-05-18T02:03:27.407699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a76eadd723d6b98d15082c0a1053bcdd5174c323240700b6a5c0592b383cac1

Aliases

arxiv: 1505.06970 · arxiv_version: 1505.06970v1 · doi: 10.48550/arxiv.1505.06970 · pith_short_12: DJ3OVXLSHVVZ · pith_short_16: DJ3OVXLSHVVZRUKQ · pith_short_8: DJ3OVXLS

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/DJ3OVXLSHVVZRUKQQLAKCBJ3ZX \
  | 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: 1a76eadd723d6b98d15082c0a1053bcdd5174c323240700b6a5c0592b383cac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0be214957cc46db45e53157c3f78489198842a8a4ecfc560679984671701875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-26T14:45:57Z",
    "title_canon_sha256": "0424ab229634e881251da7af80e9b503b4464d675b3b5c45c208619171b33f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06970",
    "kind": "arxiv",
    "version": 1
  }
}