Pith Number

pith:JZWVTNG5

pith:2025:JZWVTNG5S5NNB3SQDUSTLRQ63R

not attested not anchored not stored refs pending

Topologically 1-based T-minimal Structures

Assaf Hasson, Benjamin Castle, Will Johnson

arxiv:2508.18558 v1 · 2025-08-25 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZWVTNG5S5NNB3SQDUSTLRQ63R}

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

Definable groups and fields in t-minimal theories

Receipt and verification

First computed	2026-07-05T11:59:26.653205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6d59b4dd975ad0ee501d2535c61edc58a7a46dfbd4bdb302d67c7562937879

Aliases

arxiv: 2508.18558 · arxiv_version: 2508.18558v1 · doi: 10.48550/arxiv.2508.18558 · pith_short_12: JZWVTNG5S5NN · pith_short_16: JZWVTNG5S5NNB3SQ · pith_short_8: JZWVTNG5

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/JZWVTNG5S5NNB3SQDUSTLRQ63R \
  | 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: 4e6d59b4dd975ad0ee501d2535c61edc58a7a46dfbd4bdb302d67c7562937879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654b30033727f9989827535dfc6170baf36b535542d491a76f063745e8671b85",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-08-25T23:18:35Z",
    "title_canon_sha256": "435a04cf4c575b1ef05547a4b39f783d9c11fa2be9423ed421ecf7cb35b54862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18558",
    "kind": "arxiv",
    "version": 1
  }
}