Pith Number

pith:4P3FN2G3

pith:2019:4P3FN2G35BRXNKJFMGRKHO5T3X

not attested not anchored not stored refs pending

Tamagawa number formula with coefficients over varieties in positive characteristic

Fabien Trihan, Olivier Brinon

arxiv:1907.05838 v1 · 2019-07-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P3FN2G35BRXNKJFMGRKHO5T3X}

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	2026-05-17T23:40:44.242546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f656e8dbe86376a92561a2a3bbb3ddfd650703ab1eb2a32f54a97a1ef3d4af

Aliases

arxiv: 1907.05838 · arxiv_version: 1907.05838v1 · doi: 10.48550/arxiv.1907.05838 · pith_short_12: 4P3FN2G35BRX · pith_short_16: 4P3FN2G35BRXNKJF · pith_short_8: 4P3FN2G3

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/4P3FN2G35BRXNKJFMGRKHO5T3X \
  | 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: e3f656e8dbe86376a92561a2a3bbb3ddfd650703ab1eb2a32f54a97a1ef3d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7538aea01d1f2c0c2e77b8c6661422e28a05854fce5dce05a968ccf1de4a9d23",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-12T16:58:54Z",
    "title_canon_sha256": "91df640ec223274db9100798d76d9297a6a301f26b4aa62b6371e8ce1e93956f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05838",
    "kind": "arxiv",
    "version": 1
  }
}