Pith Number

pith:7SA7LCYB

pith:2025:7SA7LCYBDTG24CYCD3E64MQTLK

not attested not anchored not stored refs pending

Wonderful embedding for group schemes in the Bruhat--Tits theory

Shang Li

arxiv:2505.12777 v2 · 2025-05-19 · 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{7SA7LCYBDTG24CYCD3E64MQTLK}

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	2026-07-05T11:23:28.149601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc81f58b011ccdae0b021ec9ee32135ab1937b3658f85ed2f13fefe2bdf1797b

Aliases

arxiv: 2505.12777 · arxiv_version: 2505.12777v2 · doi: 10.48550/arxiv.2505.12777 · pith_short_12: 7SA7LCYBDTG2 · pith_short_16: 7SA7LCYBDTG24CYC · pith_short_8: 7SA7LCYB

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/7SA7LCYBDTG24CYCD3E64MQTLK \
  | 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: fc81f58b011ccdae0b021ec9ee32135ab1937b3658f85ed2f13fefe2bdf1797b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18642bcc069561a5791f035aa2285a7ffd5a3eeff605bed934792ed51803927a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-19T07:04:37Z",
    "title_canon_sha256": "407fc26347b0902e17fcd2dbf14a5ee96b6b833d7d9cec3d5b263b5fbca74753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12777",
    "kind": "arxiv",
    "version": 2
  }
}