Pith Number

pith:XPEJAM4A

pith:2011:XPEJAM4ALXZXBKO4AF72T5FXLU

not attested not anchored not stored refs pending

Measure-theoretic rigidity for Mumford curves

Gunther Cornelissen, Janne Kool

arxiv:1106.4119 v3 · 2011-06-21 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPEJAM4ALXZXBKO4AF72T5FXLU}

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	2026-05-18T04:05:57.627050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc89033805df370a9dc017fa9f4b75d0a2e3a0e3f7577c554fc4e26ffdbba56

Aliases

arxiv: 1106.4119 · arxiv_version: 1106.4119v3 · doi: 10.48550/arxiv.1106.4119 · pith_short_12: XPEJAM4ALXZX · pith_short_16: XPEJAM4ALXZXBKO4 · pith_short_8: XPEJAM4A

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/XPEJAM4ALXZXBKO4AF72T5FXLU \
  | 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: bbc89033805df370a9dc017fa9f4b75d0a2e3a0e3f7577c554fc4e26ffdbba56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066d5455e1f2e20917db1a99370ae630e29c2ac7c5715e70dfaf04f30b41c58d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-21T08:07:52Z",
    "title_canon_sha256": "a30e9813466ca1956065340e308f5396f2b29bbbacf8299eeae1751a715adf98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4119",
    "kind": "arxiv",
    "version": 3
  }
}