Pith Number

pith:DOAREZV4

pith:2011:DOAREZV4NGQJEB2TGJEVFCHERM

not attested not anchored not stored refs pending

On uniformly effective birationality and the Shafarevich Conjecture over curves

Gordon Heier, Shigeharu Takayama

arxiv:1105.3439 v1 · 2011-05-17 · math.AG · math.CV · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOAREZV4NGQJEB2TGJEVFCHERM}

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	2026-05-18T04:22:00.038986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b811266bc69a092075332495288e48b0ea40afbfae7be4213d1ab785f9c233b

Aliases

arxiv: 1105.3439 · arxiv_version: 1105.3439v1 · doi: 10.48550/arxiv.1105.3439 · pith_short_12: DOAREZV4NGQJ · pith_short_16: DOAREZV4NGQJEB2T · pith_short_8: DOAREZV4

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/DOAREZV4NGQJEB2TGJEVFCHERM \
  | 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: 1b811266bc69a092075332495288e48b0ea40afbfae7be4213d1ab785f9c233b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3b22a7601e15b698426c5b9958584dfb56e024663841839d174804164e2b650",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-17T17:33:31Z",
    "title_canon_sha256": "c1148c6e5f35fe386118dc6558395a6ac5e30f0d2182632aa70b810054987620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3439",
    "kind": "arxiv",
    "version": 1
  }
}