Pith Number

pith:IFXHKYXB

pith:2025:IFXHKYXB2P2POW563CDH77QW7K

not attested not anchored not stored refs pending

An axiomatic approach to analytic $1$-affineness

Emanuele Pavia, Matteo Montagnani

arxiv:2509.04341 v2 · 2025-09-04 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFXHKYXB2P2POW563CDH77QW7K}

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	2026-07-05T12:05:22.995581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416e7562e1d3f4f75bbed8867ffe16fa996ee530f57f360b2776a08090b2a20a

Aliases

arxiv: 2509.04341 · arxiv_version: 2509.04341v2 · doi: 10.48550/arxiv.2509.04341 · pith_short_12: IFXHKYXB2P2P · pith_short_16: IFXHKYXB2P2POW56 · pith_short_8: IFXHKYXB

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/IFXHKYXB2P2POW563CDH77QW7K \
  | 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: 416e7562e1d3f4f75bbed8867ffe16fa996ee530f57f360b2776a08090b2a20a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d70e53ec26795a44a7120c693cb43203c98736a77aabfa6b2135a84c9868d4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-04T15:59:55Z",
    "title_canon_sha256": "12cac98871381f53478069bd7be473455c1798d586b2f47aa036fa44b844a648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04341",
    "kind": "arxiv",
    "version": 2
  }
}