Pith Number

pith:76SAKOQT

pith:2013:76SAKOQTWBYO4G3HDNPZPXIED3

not attested not anchored not stored refs pending

An Abel map to the compactified Picard scheme realizes Poincar\'e duality

Jesse Leo Kass, Kirsten Wickelgren

arxiv:1305.6330 v2 · 2013-05-27 · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76SAKOQTWBYO4G3HDNPZPXIED3}

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	2026-05-18T02:03:38.277996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa4053a13b070ee1b671b5f97dd041edddbf94e22a787418dbf81512107f9f9

Aliases

arxiv: 1305.6330 · arxiv_version: 1305.6330v2 · doi: 10.48550/arxiv.1305.6330 · pith_short_12: 76SAKOQTWBYO · pith_short_16: 76SAKOQTWBYO4G3H · pith_short_8: 76SAKOQT

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/76SAKOQTWBYO4G3HDNPZPXIED3 \
  | 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: ffa4053a13b070ee1b671b5f97dd041edddbf94e22a787418dbf81512107f9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3741284aa07a4e7487ff12f9853c7f44589bd8a7ff0a78abe0440be6a9a028a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-27T21:16:58Z",
    "title_canon_sha256": "d5bfbe3340608274d12b42c189c453ea605bb1e6d61a5a3fd4b9084c4c234bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6330",
    "kind": "arxiv",
    "version": 2
  }
}