Pith Number

pith:T3A3CZSY

pith:2016:T3A3CZSYWQ2DQ5OMOECT2OYYT4

not attested not anchored not stored refs pending

Counting isospectral manifolds

Benjamin Linowitz, Mikhail Belolipetsky

arxiv:1604.03849 v3 · 2016-04-13 · math.DG · math.GR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3A3CZSYWQ2DQ5OMOECT2OYYT4}

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	2026-05-18T00:28:18.996687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec1b16658b4343875cc71053d3b189f35741acb064803ffb201927c9a5b0ff3

Aliases

arxiv: 1604.03849 · arxiv_version: 1604.03849v3 · doi: 10.48550/arxiv.1604.03849 · pith_short_12: T3A3CZSYWQ2D · pith_short_16: T3A3CZSYWQ2DQ5OM · pith_short_8: T3A3CZSY

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/T3A3CZSYWQ2DQ5OMOECT2OYYT4 \
  | 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: 9ec1b16658b4343875cc71053d3b189f35741acb064803ffb201927c9a5b0ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e893b409b312e3f35608c074297a4a5b585a2fea398a2ce6ebc518af55b6275",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-13T16:03:36Z",
    "title_canon_sha256": "b60b93ef2cbf2e9a2285db96466c3432d339ec09def26927e0df89a9a854f768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03849",
    "kind": "arxiv",
    "version": 3
  }
}