Pith Number

pith:UA64NWUD

pith:2026:UA64NWUDW6SENL6DUWZ7CU6UTQ

not attested not anchored not stored refs pending

On optimal $p$-adic uniformization of unitary Shimura curves

Haining Wang, Michael Rapoport

arxiv:2605.19443 v1 · 2026-05-19 · 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{UA64NWUDW6SENL6DUWZ7CU6UTQ}

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	2026-05-20T01:05:46.145767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03dc6da83b7a446afc3a5b3f153d49c31b1f72211afc0a9034a8a53e6501f2c

Aliases

arxiv: 2605.19443 · arxiv_version: 2605.19443v1 · doi: 10.48550/arxiv.2605.19443 · pith_short_12: UA64NWUDW6SE · pith_short_16: UA64NWUDW6SENL6D · pith_short_8: UA64NWUD

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/UA64NWUDW6SENL6DUWZ7CU6UTQ \
  | 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: a03dc6da83b7a446afc3a5b3f153d49c31b1f72211afc0a9034a8a53e6501f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4bb7031116dfd54801bcd93b666ad93d0267e699d1e32ffdb3ad5238427b67",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-19T06:56:44Z",
    "title_canon_sha256": "d1a755e947488463d05167ac9fdbfd9bf7f197985ee39003395249fdd126a7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19443",
    "kind": "arxiv",
    "version": 1
  }
}