Pith Number

pith:ZKUB67DY

pith:2016:ZKUB67DYCUM3L2OVER7A4UGNKO

not attested not anchored not stored refs pending

Equisingular resolution with SNC fibers and combinatorial type of varieties

Jaroslaw Wlodarczyk

arxiv:1602.01535 v1 · 2016-02-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKUB67DYCUM3L2OVER7A4UGNKO}

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	2026-05-18T01:21:18.735849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa81f7c781519b5e9d5247e0e50cd53ba0b115be2496b8d177d620ea42cf690

Aliases

arxiv: 1602.01535 · arxiv_version: 1602.01535v1 · doi: 10.48550/arxiv.1602.01535 · pith_short_12: ZKUB67DYCUM3 · pith_short_16: ZKUB67DYCUM3L2OV · pith_short_8: ZKUB67DY

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/ZKUB67DYCUM3L2OVER7A4UGNKO \
  | 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: caa81f7c781519b5e9d5247e0e50cd53ba0b115be2496b8d177d620ea42cf690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a082c06ce25d2635711bbb783c516b0bb1e593ff61399bb9c66575bb9e67f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-04T02:01:19Z",
    "title_canon_sha256": "a5f3430a1fdc63fd35135a1d70d8f217391e36cac39c3865e543ed5caf44ffff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01535",
    "kind": "arxiv",
    "version": 1
  }
}