Pith Number

pith:ZWRY7XFZ

pith:2019:ZWRY7XFZ6R66YFEVEMEGVZY3LY

not attested not anchored not stored refs pending

Degeneration of pole order spectral sequences for hyperplane arrangements of 4 variables

Morihiko Saito

arxiv:1902.03838 v1 · 2019-02-11 · 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{ZWRY7XFZ6R66YFEVEMEGVZY3LY}

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	2026-05-17T23:54:19.462610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda38fdcb9f47dec149523086ae71b5e1ef03567737556662877280bd8a3c5a0

Aliases

arxiv: 1902.03838 · arxiv_version: 1902.03838v1 · doi: 10.48550/arxiv.1902.03838 · pith_short_12: ZWRY7XFZ6R66 · pith_short_16: ZWRY7XFZ6R66YFEV · pith_short_8: ZWRY7XFZ

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/ZWRY7XFZ6R66YFEVEMEGVZY3LY \
  | 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: cda38fdcb9f47dec149523086ae71b5e1ef03567737556662877280bd8a3c5a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59834be7e526bd77e4e61369e04e47a4d5fdf0116b81540ce8e571a3f8c17315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-11T12:10:09Z",
    "title_canon_sha256": "50a2aa8edf2eb67020cb220e99b21757b37ab8ce515be8835e547d532a179d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03838",
    "kind": "arxiv",
    "version": 1
  }
}