Pith Number

pith:SEK2YPCV

pith:2025:SEK2YPCV5ELUL3CW4ENUXYIOLM

not attested not anchored not stored refs pending

Strong stratifications and uniform Yomdin-Gromov parametrizations in valued fields with analytic structure

Krzysztof Jan Nowak

arxiv:2505.19814 v4 · 2025-05-26 · math.LO · 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{SEK2YPCV5ELUL3CW4ENUXYIOLM}

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	2026-05-26T02:03:51.065586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9115ac3c55e91745ec56e11b4be10e5b066e09cd40cd694fe20df5cfa011152c

Aliases

arxiv: 2505.19814 · arxiv_version: 2505.19814v4 · doi: 10.48550/arxiv.2505.19814 · pith_short_12: SEK2YPCV5ELU · pith_short_16: SEK2YPCV5ELUL3CW · pith_short_8: SEK2YPCV

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/SEK2YPCV5ELUL3CW4ENUXYIOLM \
  | 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: 9115ac3c55e91745ec56e11b4be10e5b066e09cd40cd694fe20df5cfa011152c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ed6e591d083423364a2af0e4d8fb4f6734cb04f3171657174bc8a4c6e0bc08",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-05-26T10:51:47Z",
    "title_canon_sha256": "bd6bcb6142909dbec6880595c11b7242ed6fa2d23bb92fc33b30bb508717c262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19814",
    "kind": "arxiv",
    "version": 4
  }
}