Pith Number

pith:EZ2GTVTY

pith:2015:EZ2GTVTY6GHWM44QQL22OFGUBF

not attested not anchored not stored refs pending

Autoduality holds for a degenerating abelian variety

Jesse Leo Kass

arxiv:1507.07963 v2 · 2015-07-28 · 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{EZ2GTVTY6GHWM44QQL22OFGUBF}

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	2026-05-18T00:39:13.865360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267469d678f18f66739082f5a714d4095079e9a19821ee472882f42f831e774f

Aliases

arxiv: 1507.07963 · arxiv_version: 1507.07963v2 · doi: 10.48550/arxiv.1507.07963 · pith_short_12: EZ2GTVTY6GHW · pith_short_16: EZ2GTVTY6GHWM44Q · pith_short_8: EZ2GTVTY

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/EZ2GTVTY6GHWM44QQL22OFGUBF \
  | 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: 267469d678f18f66739082f5a714d4095079e9a19821ee472882f42f831e774f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da61adbc2320caf0ea0a411bcbfd82450a3cc95c1feb9d8633172bb5b64d0b1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-28T21:23:53Z",
    "title_canon_sha256": "6168302869602d73d4ba7ae7606d688c3465b65016520662ffeffbc1536f0519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07963",
    "kind": "arxiv",
    "version": 2
  }
}