Pith Number

pith:SXP2WHLV

pith:2014:SXP2WHLV2SM4FGNQNVV42CQXYW

not attested not anchored not stored refs pending

Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries

Delphine Moussard

arxiv:1412.4627 v1 · 2014-12-15 · 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{SXP2WHLV2SM4FGNQNVV42CQXYW}

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	2026-05-18T00:29:15.926689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3

Aliases

arxiv: 1412.4627 · arxiv_version: 1412.4627v1 · doi: 10.48550/arxiv.1412.4627 · pith_short_12: SXP2WHLV2SM4 · pith_short_16: SXP2WHLV2SM4FGNQ · pith_short_8: SXP2WHLV

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/SXP2WHLV2SM4FGNQNVV42CQXYW \
  | 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: 95dfab1d75d499c299b06d6bcd0a17c58df428ced2b11f710fb39d6f60a76ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d033ba0a6087a1582de9fec0cc7a533aeb3a9678d60de01b06e34f10b055ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-15T15:02:02Z",
    "title_canon_sha256": "0bd1da65ed0fab9651bdf7b28efc1613dfb2bc444184951261726ecfc4ddbabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4627",
    "kind": "arxiv",
    "version": 1
  }
}