Pith Number

pith:3TU3TRE2

pith:2018:3TU3TRE247SHG6EE255RXNMJKH

not attested not anchored not stored refs pending

A classification of maximally symmetric surfaces in the 3-dimensional torus

Bruno Zimmermann, Chao Wang

arxiv:1804.02575 v1 · 2018-04-07 · 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{3TU3TRE247SHG6EE255RXNMJKH}

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	2026-05-18T00:18:59.072185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce9b9c49ae7e4737884d77b1bb58951ea9edf36ad93089a2c0d137cc6924a58

Aliases

arxiv: 1804.02575 · arxiv_version: 1804.02575v1 · doi: 10.48550/arxiv.1804.02575 · pith_short_12: 3TU3TRE247SH · pith_short_16: 3TU3TRE247SHG6EE · pith_short_8: 3TU3TRE2

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/3TU3TRE247SHG6EE255RXNMJKH \
  | 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: dce9b9c49ae7e4737884d77b1bb58951ea9edf36ad93089a2c0d137cc6924a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0e12078b67be33ff3c9171184abdf507e107ed07875ecfd3d7e6f5f93bcbac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-07T16:58:46Z",
    "title_canon_sha256": "05d1ef8548b30da1628afe0c078f6fbc3b4754b8497b7a920aebd87d6432210f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02575",
    "kind": "arxiv",
    "version": 1
  }
}