Pith Number

pith:XER4DYNE

pith:2012:XER4DYNEEG3BDR5VZVCXDJQGNV

not attested not anchored not stored refs pending

Some model theory of fibrations and algebraic reductions

Anand Pillay, Rahim Moosa

arxiv:1210.2793 v2 · 2012-10-10 · math.LO · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XER4DYNEEG3BDR5VZVCXDJQGNV}

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	2026-05-18T03:04:22.645989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b923c1e1a421b611c7b5cd4571a6066d4f6f84e464b59c11f8b0411b680bb629

Aliases

arxiv: 1210.2793 · arxiv_version: 1210.2793v2 · doi: 10.48550/arxiv.1210.2793 · pith_short_12: XER4DYNEEG3B · pith_short_16: XER4DYNEEG3BDR5V · pith_short_8: XER4DYNE

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/XER4DYNEEG3BDR5VZVCXDJQGNV \
  | 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: b923c1e1a421b611c7b5cd4571a6066d4f6f84e464b59c11f8b0411b680bb629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b348bdfccc1d022858460fa729158306e5ce6d2c0995b65e30524a7bc3138f6c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-10T02:48:06Z",
    "title_canon_sha256": "2f9596071840699b212aad64b35c304630dcf293519a0ecd4e95cc0d33551da0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2793",
    "kind": "arxiv",
    "version": 2
  }
}