Pith Number

pith:ANHGCWCV

pith:2013:ANHGCWCVNRF5G55IKZQZCHHK6R

not attested not anchored not stored refs pending

Explicit Chow-Lefschetz Decomposition for Kummer manifolds

Reza Akhtar, Roy Joshua

arxiv:1309.6403 v2 · 2013-09-25 · 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{ANHGCWCVNRF5G55IKZQZCHHK6R}

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	2026-05-17T23:43:18.947818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034e6158556c4bd377a85661911ceaf460a7becdc34904113ef3fc7cba403daf

Aliases

arxiv: 1309.6403 · arxiv_version: 1309.6403v2 · doi: 10.48550/arxiv.1309.6403 · pith_short_12: ANHGCWCVNRF5 · pith_short_16: ANHGCWCVNRF5G55I · pith_short_8: ANHGCWCV

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/ANHGCWCVNRF5G55IKZQZCHHK6R \
  | 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: 034e6158556c4bd377a85661911ceaf460a7becdc34904113ef3fc7cba403daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55db647f3b7b9817bd9ff2d50f8bf08f82f1f0e16c90860ebd80b341d8aa06f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-25T05:19:34Z",
    "title_canon_sha256": "ddca479827d49fe5452af543bbb825aa9f27f553aedf00f86b9a67ad2d2bf61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6403",
    "kind": "arxiv",
    "version": 2
  }
}