Pith Number

pith:3WFYYVN7

pith:2010:3WFYYVN76NFMCMNBPMAT77NDAE

not attested not anchored not stored refs pending

Fields and Fusions: Hrushovski constructions and their definable groups

Frank Olaf Wagner (ICJ)

arxiv:1008.4217 v1 · 2010-08-25 · 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{3WFYYVN76NFMCMNBPMAT77NDAE}

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	2026-05-18T03:12:58.251561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8b8c55bff34ac131a17b013ffda30135203763474ccb38baf8bb203730e755

Aliases

arxiv: 1008.4217 · arxiv_version: 1008.4217v1 · doi: 10.48550/arxiv.1008.4217 · pith_short_12: 3WFYYVN76NFM · pith_short_16: 3WFYYVN76NFMCMNB · pith_short_8: 3WFYYVN7

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/3WFYYVN76NFMCMNBPMAT77NDAE \
  | 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: dd8b8c55bff34ac131a17b013ffda30135203763474ccb38baf8bb203730e755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aefff10b844994bff7a9578b791da1fa04d301bc18f6c1de571f55f5162d2e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-08-25T07:23:06Z",
    "title_canon_sha256": "552bb535ba0299fa67658c9816407dc12ddf7cd06379ea689e7f7bef9e4e6053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4217",
    "kind": "arxiv",
    "version": 1
  }
}