Pith Number

pith:NK4VTT56

pith:2025:NK4VTT56Y2QWIWPBOEOGCIZB63

not attested not anchored not stored refs pending

Syntomification and crystalline local systems

Dylan Pentland

arxiv:2510.16961 v4 · 2025-10-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NK4VTT56Y2QWIWPBOEOGCIZB63}

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.

Cited by

1 paper in Pith

Height 1 Group Schemes and Prismatic F-Gauges

Receipt and verification

First computed	2026-05-20T02:05:37.220080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ab959cfbec6a16459e1711c612321f6cd43b0d49063945979d2e4fe5c293e5f

Aliases

arxiv: 2510.16961 · arxiv_version: 2510.16961v4 · doi: 10.48550/arxiv.2510.16961 · pith_short_12: NK4VTT56Y2QW · pith_short_16: NK4VTT56Y2QWIWPB · pith_short_8: NK4VTT56

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/NK4VTT56Y2QWIWPBOEOGCIZB63 \
  | 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: 6ab959cfbec6a16459e1711c612321f6cd43b0d49063945979d2e4fe5c293e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b4937c6572e29bf79aa47b452c57da2bbc9e0ca5bfb1e538b49fe538ee6f3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-19T19:03:18Z",
    "title_canon_sha256": "f36ea20fccf1802135337f6133001e7a20afb66fe175c738a852d3a70f520f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16961",
    "kind": "arxiv",
    "version": 4
  }
}