Pith Number

pith:Z3KN4SDJ

pith:2012:Z3KN4SDJGK5EZOSDH2IY7DPSDR

not attested not anchored not stored refs pending

Symmetries and stabilization for sheaves of vanishing cycles

Balazs Szendroi, Christopher Brav, Delphine Dupont, Dominic Joyce, Vittoria Bussi

arxiv:1211.3259 v4 · 2012-11-14 · math.AG · math.CV · 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{Z3KN4SDJGK5EZOSDH2IY7DPSDR}

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	2026-05-18T01:57:23.785040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced4de486932ba4cba433e918f8df21c7552d3f69c2f94a5efe85132edf5cb53

Aliases

arxiv: 1211.3259 · arxiv_version: 1211.3259v4 · doi: 10.48550/arxiv.1211.3259 · pith_short_12: Z3KN4SDJGK5E · pith_short_16: Z3KN4SDJGK5EZOSD · pith_short_8: Z3KN4SDJ

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/Z3KN4SDJGK5EZOSDH2IY7DPSDR \
  | 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: ced4de486932ba4cba433e918f8df21c7552d3f69c2f94a5efe85132edf5cb53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77d3bedbd371a1c985413ca5952bdce4c377f12b2a308e3b59134f2af8eb9a4",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-14T10:07:28Z",
    "title_canon_sha256": "35f09d2525ae27181bb29a3ec6c97700d459c8620d1a3d6b2247e3bfe00d581d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3259",
    "kind": "arxiv",
    "version": 4
  }
}