Pith Number

pith:5TUQPQFU

pith:2016:5TUQPQFURC4TBX6EHMGHYURUYC

not attested not anchored not stored refs pending

Algebraic and Nori fundamental gerbes

Fabio Tonini, Lei Zhang

arxiv:1605.01332 v2 · 2016-05-04 · math.AG · 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{5TUQPQFURC4TBX6EHMGHYURUYC}

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	2026-05-17T23:43:07.320998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece907c0b488b930dfc43b0c7c5234c0922e8e05e3b0a9e4d7fb1f973d112d92

Aliases

arxiv: 1605.01332 · arxiv_version: 1605.01332v2 · doi: 10.48550/arxiv.1605.01332 · pith_short_12: 5TUQPQFURC4T · pith_short_16: 5TUQPQFURC4TBX6E · pith_short_8: 5TUQPQFU

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/5TUQPQFURC4TBX6EHMGHYURUYC \
  | 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: ece907c0b488b930dfc43b0c7c5234c0922e8e05e3b0a9e4d7fb1f973d112d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d025d9d2763ab4ae63b09d13110ab0eb3ea10ad14d5464a08643f417065a42b9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-04T16:20:54Z",
    "title_canon_sha256": "ab91e85634851a50d1baaaa1753f2c9cab0baba7768ad531e7d5f0e58b28c631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01332",
    "kind": "arxiv",
    "version": 2
  }
}