Pith Number

pith:NISXPF4J

pith:2007:NISXPF4JKPBZL5GMWGWVPNPOW6

not attested not anchored not stored refs pending

Mapping class groups of Heegaard splittings

Hyam Rubinstein, Jesse Johnson

arxiv:math/0701119 v4 · 2007-01-04 · 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{NISXPF4JKPBZL5GMWGWVPNPOW6}

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	2026-05-18T04:09:56.681107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2577978953c395f4ccb1ad57b5eeb7a9acf631d5382d7854607f93100c8b75

Aliases

arxiv: math/0701119 · arxiv_version: math/0701119v4 · doi: 10.48550/arxiv.math/0701119 · pith_short_12: NISXPF4JKPBZ · pith_short_16: NISXPF4JKPBZL5GM · pith_short_8: NISXPF4J

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/NISXPF4JKPBZL5GMWGWVPNPOW6 \
  | 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: 6a2577978953c395f4ccb1ad57b5eeb7a9acf631d5382d7854607f93100c8b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2784162e40f3245c5f7e90071a149e2d53d4cd771c5e96ec4dfb96b8b53b3e3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-01-04T03:48:20Z",
    "title_canon_sha256": "569f6979ab89dab3c1d6d0f3caabd7f0cd968d605183182b5d257d311bdd2aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701119",
    "kind": "arxiv",
    "version": 4
  }
}