Pith Number

pith:Z56BFRU7

pith:2016:Z56BFRU7A6Z462DPWTWZGEEHIM

not attested not anchored not stored refs pending

Holomorphic curves in compact Shimura varieties

Andrei Yafaev, Emmanuel Ullmo

arxiv:1610.01494 v1 · 2016-10-05 · 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{Z56BFRU7A6Z462DPWTWZGEEHIM}

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	2026-05-18T01:03:07.019090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7c12c69f07b3cf686fb4ed931087430653701dfa6b98f1544e4248a71695c4

Aliases

arxiv: 1610.01494 · arxiv_version: 1610.01494v1 · doi: 10.48550/arxiv.1610.01494 · pith_short_12: Z56BFRU7A6Z4 · pith_short_16: Z56BFRU7A6Z462DP · pith_short_8: Z56BFRU7

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/Z56BFRU7A6Z462DPWTWZGEEHIM \
  | 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: cf7c12c69f07b3cf686fb4ed931087430653701dfa6b98f1544e4248a71695c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6873818c62dbad90c80051c1b1cc43266b4692a6650f5d53a35044490f7f935f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-05T15:59:58Z",
    "title_canon_sha256": "1062cb99b3762677862d1905c506304a2fde41d779c909426816495366482482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01494",
    "kind": "arxiv",
    "version": 1
  }
}