Pith Number

pith:EBMKHKTN

pith:2002:EBMKHKTNAOSY7CZFF6E6RJ7SZG

not attested not anchored not stored refs pending

Generic behavior of asymptotically holomorphic Lefschetz pencils

Francisco Presas, Jaume Amor\'os, Vicente Mu\~noz

arxiv:math/0210325 v2 · 2002-10-21 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBMKHKTNAOSY7CZFF6E6RJ7SZG}

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	2026-05-18T01:05:29.281278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2058a3aa6d03a58f8b252f89e8a7f2c990af31a43223eab7100627ad3d7764b0

Aliases

arxiv: math/0210325 · arxiv_version: math/0210325v2 · doi: 10.48550/arxiv.math/0210325 · pith_short_12: EBMKHKTNAOSY · pith_short_16: EBMKHKTNAOSY7CZF · pith_short_8: EBMKHKTN

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/EBMKHKTNAOSY7CZFF6E6RJ7SZG \
  | 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: 2058a3aa6d03a58f8b252f89e8a7f2c990af31a43223eab7100627ad3d7764b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d664181128324836beb5e7d117f51fd15bd94501f3a035c0f32b546724a8143c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-10-21T15:24:50Z",
    "title_canon_sha256": "939582c7ee46b5bb810976c693a74c9b3ab675fc94a0bdf8361f63495e722c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210325",
    "kind": "arxiv",
    "version": 2
  }
}