Pith Number

pith:AFZXPEBL

pith:2013:AFZXPEBLUHYO3DBFEGM3WE5PHP

not attested not anchored not stored refs pending

Pseudo-holomorphic functions at the critical exponent

Alexander Borichev, Laurent Baratchart, Slah Chaabi

arxiv:1309.3079 v2 · 2013-09-12 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFZXPEBLUHYO3DBFEGM3WE5PHP}

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	2026-05-18T02:20:59.549393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017377902ba1f0ed8c252199bb13af3bebbf8a5d1b94ce7c88d818597dbff212

Aliases

arxiv: 1309.3079 · arxiv_version: 1309.3079v2 · doi: 10.48550/arxiv.1309.3079 · pith_short_12: AFZXPEBLUHYO · pith_short_16: AFZXPEBLUHYO3DBF · pith_short_8: AFZXPEBL

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/AFZXPEBLUHYO3DBFEGM3WE5PHP \
  | 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: 017377902ba1f0ed8c252199bb13af3bebbf8a5d1b94ce7c88d818597dbff212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981c008f5650ed946cb94bb69c3b12153800d3840fa5153d18a5bc33dcdea389",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-12T09:49:50Z",
    "title_canon_sha256": "82cb3c8382bb69d8fa8734cc1fdf18728462ad7243f4ecaba780def8dc27f615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3079",
    "kind": "arxiv",
    "version": 2
  }
}