Pith Number

pith:PIMULK2Q

pith:2013:PIMULK2QRDHIDPISIIMHDISUXD

not attested not anchored not stored refs pending

Relative Manin-Mumford for semi-abelian surfaces

Anand Pillay, Daniel Bertrand, David Masser, Umberto Zannier

arxiv:1307.1008 v1 · 2013-07-03 · math.NT · 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{PIMULK2QRDHIDPISIIMHDISUXD}

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	2026-05-18T03:19:23.504049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1945ab5088ce81bd12421871a254b8fd3195fb553db895f76e882cfd0ce70a

Aliases

arxiv: 1307.1008 · arxiv_version: 1307.1008v1 · doi: 10.48550/arxiv.1307.1008 · pith_short_12: PIMULK2QRDHI · pith_short_16: PIMULK2QRDHIDPIS · pith_short_8: PIMULK2Q

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/PIMULK2QRDHIDPISIIMHDISUXD \
  | 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: 7a1945ab5088ce81bd12421871a254b8fd3195fb553db895f76e882cfd0ce70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081038253e5f91161d1cacdcb217476c12c40ca1a44d5469baec073b0fd12388",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-03T13:32:48Z",
    "title_canon_sha256": "f8cd70a49512743f373ef3c976ef7c2ed0871b1232c0e0f50182ecbe84dbca16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1008",
    "kind": "arxiv",
    "version": 1
  }
}