Pith Number

pith:HGEXBT2Y

pith:2016:HGEXBT2YZFJEPFTZ335QE2ICD4

not attested not anchored not stored refs pending

Reduced norms and the Riemann-Roch theorem for Abelian varieties

Nathan Grieve

arxiv:1603.06425 v2 · 2016-03-21 · 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{HGEXBT2YZFJEPFTZ335QE2ICD4}

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	2026-05-18T00:37:48.648696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398970cf58c952479679defb0269021f16c16d520520b68a54f49b6782cd66c6

Aliases

arxiv: 1603.06425 · arxiv_version: 1603.06425v2 · doi: 10.48550/arxiv.1603.06425 · pith_short_12: HGEXBT2YZFJE · pith_short_16: HGEXBT2YZFJEPFTZ · pith_short_8: HGEXBT2Y

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/HGEXBT2YZFJEPFTZ335QE2ICD4 \
  | 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: 398970cf58c952479679defb0269021f16c16d520520b68a54f49b6782cd66c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276e7f8960f0d5d4d4b4f33a3274c94c07bc631dec103e1c83833f6f5a401903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-21T13:28:08Z",
    "title_canon_sha256": "816ee749d937a2d01498dd38f6cd95317ec5bc431ea6c9fabd32b88be074e1ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06425",
    "kind": "arxiv",
    "version": 2
  }
}