Pith Number

pith:FWVBFAZA

pith:2018:FWVBFAZAABCNL5C3B7OZTPHBTX

not attested not anchored not stored refs pending

On the relative twist formula of $\ell$-adic sheaves

Enlin Yang, Yigeng Zhao

arxiv:1807.06930 v1 · 2018-07-18 · 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{FWVBFAZAABCNL5C3B7OZTPHBTX}

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	2026-05-18T00:10:25.302739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2daa1283200044d5f45b0fdd99bce19dccd2bad1a9e91ad0ccc5bd78d5ab6de8

Aliases

arxiv: 1807.06930 · arxiv_version: 1807.06930v1 · doi: 10.48550/arxiv.1807.06930 · pith_short_12: FWVBFAZAABCN · pith_short_16: FWVBFAZAABCNL5C3 · pith_short_8: FWVBFAZA

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/FWVBFAZAABCNL5C3B7OZTPHBTX \
  | 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: 2daa1283200044d5f45b0fdd99bce19dccd2bad1a9e91ad0ccc5bd78d5ab6de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9723b0b272468aa8df107870be9c9d0bb2eb2d96b5bfeff0a13037684190989",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-18T13:51:57Z",
    "title_canon_sha256": "8b3d2a59f461d8c1e1b4b47b2c720e54dd49f5ee7e84dcfa4d16778e03fb01c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06930",
    "kind": "arxiv",
    "version": 1
  }
}