Pith Number

pith:XE25FABB

pith:2013:XE25FABBZLA3CSCEOJQYYPWIMU

not attested not anchored not stored refs pending

Index conditions and cup-product maps on abelian varieties

Nathan Grieve

arxiv:1308.1970 v3 · 2013-08-08 · 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{XE25FABBZLA3CSCEOJQYYPWIMU}

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	2026-05-18T00:06:44.308692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b935d28021cac1b1484472618c3ec86526edd817e246cbe045d9f704d99be5be

Aliases

arxiv: 1308.1970 · arxiv_version: 1308.1970v3 · doi: 10.48550/arxiv.1308.1970 · pith_short_12: XE25FABBZLA3 · pith_short_16: XE25FABBZLA3CSCE · pith_short_8: XE25FABB

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/XE25FABBZLA3CSCEOJQYYPWIMU \
  | 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: b935d28021cac1b1484472618c3ec86526edd817e246cbe045d9f704d99be5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c393ba09962af9bbddfa62d76f8d0282f4cd4197248240772d0a122326ddec1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-08T20:37:15Z",
    "title_canon_sha256": "9cdb8b2fff2e2f5d8f05205da99ecb5843614a4d661d5d0f8768e43f4365a405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1970",
    "kind": "arxiv",
    "version": 3
  }
}