Pith Number

pith:BEGLZ4LK

pith:2012:BEGLZ4LKSPEGT7MSJ4OEGL2LWH

not attested not anchored not stored refs pending

$F$-zips with additional structure

Paul Ziegler, Richard Pink, Torsten Wedhorn

arxiv:1208.3547 v2 · 2012-08-17 · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEGLZ4LKSPEGT7MSJ4OEGL2LWH}

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	2026-05-18T01:22:26.364337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090cbcf16a93c869fd924f1c432f4bb1dad78568d6c5d84afec23782001790c7

Aliases

arxiv: 1208.3547 · arxiv_version: 1208.3547v2 · doi: 10.48550/arxiv.1208.3547 · pith_short_12: BEGLZ4LKSPEG · pith_short_16: BEGLZ4LKSPEGT7MS · pith_short_8: BEGLZ4LK

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/BEGLZ4LKSPEGT7MSJ4OEGL2LWH \
  | 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: 090cbcf16a93c869fd924f1c432f4bb1dad78568d6c5d84afec23782001790c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e30474aa1534b2b01e9c68d919d690c51e0c779b0aaf510581e8185f247f6b",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-17T07:05:51Z",
    "title_canon_sha256": "460539b5d314f9fd0f5bcac4880c5f8d566c7ebb3f119e531a461365776b3d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3547",
    "kind": "arxiv",
    "version": 2
  }
}