Pith Number

pith:CMALWUAY

pith:2014:CMALWUAYAJJO6MUVOY2ZDEYX24

not attested not anchored not stored refs pending

Bounded negativity of self-intersection numbers of Shimura curves on Shimura surfaces

Domingo Toledo, Martin Moeller

arxiv:1407.5181 v1 · 2014-07-19 · 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{CMALWUAYAJJO6MUVOY2ZDEYX24}

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	2026-05-18T01:22:21.984386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1300bb50180252ef32957635919317d7284f007e5729be5c830806aea16d983a

Aliases

arxiv: 1407.5181 · arxiv_version: 1407.5181v1 · doi: 10.48550/arxiv.1407.5181 · pith_short_12: CMALWUAYAJJO · pith_short_16: CMALWUAYAJJO6MUV · pith_short_8: CMALWUAY

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/CMALWUAYAJJO6MUVOY2ZDEYX24 \
  | 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: 1300bb50180252ef32957635919317d7284f007e5729be5c830806aea16d983a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e581f7cf4b7316ee625bbc31c7ce642467cafa8d0f40fe67aa6f60075e43970b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-19T13:07:54Z",
    "title_canon_sha256": "a9237c6b8149599262e753c3cbf28801372404b0b446e1c46c376bc9875ce3b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5181",
    "kind": "arxiv",
    "version": 1
  }
}