Pith Number

pith:EVTBOGWZ

pith:2010:EVTBOGWZIOML5OMYXDZSTNQQRF

not attested not anchored not stored refs pending

L-series of Artin stacks over finite fields

Shenghao Sun

arxiv:1008.3689 v2 · 2010-08-22 · 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{EVTBOGWZIOML5OMYXDZSTNQQRF}

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	2026-05-18T03:51:36.142343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2566171ad94398beb998b8f329b61089595d292402e8a45f2a76b0db18449d7e

Aliases

arxiv: 1008.3689 · arxiv_version: 1008.3689v2 · doi: 10.48550/arxiv.1008.3689 · pith_short_12: EVTBOGWZIOML · pith_short_16: EVTBOGWZIOML5OMY · pith_short_8: EVTBOGWZ

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/EVTBOGWZIOML5OMYXDZSTNQQRF \
  | 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: 2566171ad94398beb998b8f329b61089595d292402e8a45f2a76b0db18449d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3500d0f3aae8ffd848472e7f07cfe68c16ef1ecee8de87fac1da4d47a6f9c7c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-22T10:18:44Z",
    "title_canon_sha256": "b55b9a1b1e80b39daf3d0009a118557209b9a96edbb1f8bec41613d977cdf5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3689",
    "kind": "arxiv",
    "version": 2
  }
}