Pith Number

pith:A7SPNVMO

pith:2025:A7SPNVMO7SIOFG7MSUDKWRG7LC

not attested not anchored not stored refs pending

Virtual invariants from the non-associative Hilbert scheme

Felix Minddal, Gergely B\'erczi

arxiv:2512.11538 v3 · 2025-12-12 · 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{A7SPNVMO7SIOFG7MSUDKWRG7LC}

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	2026-07-01T01:17:43.815943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e4f6d58efc90e29bec9506ab44df58943c87b7a4cea27aa1a4d1bf693ab827

Aliases

arxiv: 2512.11538 · arxiv_version: 2512.11538v3 · doi: 10.48550/arxiv.2512.11538 · pith_short_12: A7SPNVMO7SIO · pith_short_16: A7SPNVMO7SIOFG7M · pith_short_8: A7SPNVMO

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/A7SPNVMO7SIOFG7MSUDKWRG7LC \
  | 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: 07e4f6d58efc90e29bec9506ab44df58943c87b7a4cea27aa1a4d1bf693ab827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14870f09569a90546611f01551cbeac0d881081e9612e839d075ce5c54606f4c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-12T13:16:14Z",
    "title_canon_sha256": "d2800ec2119d957cb7b9aa6db6443c92ec452613e009c8854f4502878921255d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11538",
    "kind": "arxiv",
    "version": 3
  }
}