Pith Number

pith:3SO6GZWY

pith:2019:3SO6GZWYRO3TQFMY2VS3ZRWSTK

not attested not anchored not stored refs pending

$\overline{Spec\mathbb Z}$ and the Gromov norm

Alain Connes, Caterina Consani

arxiv:1905.03310 v1 · 2019-05-08 · math.AG · math.AT · 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{3SO6GZWYRO3TQFMY2VS3ZRWSTK}

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	2026-05-17T23:46:40.424286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9de366d88bb7381598d565bcc6d29abed04005387e792aa48991934c9546a7

Aliases

arxiv: 1905.03310 · arxiv_version: 1905.03310v1 · doi: 10.48550/arxiv.1905.03310 · pith_short_12: 3SO6GZWYRO3T · pith_short_16: 3SO6GZWYRO3TQFMY · pith_short_8: 3SO6GZWY

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/3SO6GZWYRO3TQFMY2VS3ZRWSTK \
  | 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: dc9de366d88bb7381598d565bcc6d29abed04005387e792aa48991934c9546a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998084ab80dec7340831d2e14054eb1785efa55104d2a31b98ac3f2f1bfcad4d",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-08T19:46:52Z",
    "title_canon_sha256": "cf6cb72f741a358c8451b40612ded9ffa758e20361fc13232e04c762778fff26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03310",
    "kind": "arxiv",
    "version": 1
  }
}