Pith Number

pith:GS6IMOD7

pith:2001:GS6IMOD7FTE4HMKHL52KY45X3N

not attested not anchored not stored refs pending

Lower central series and free resolutions of hyperplane arrangements

Alexander I. Suciu, Henry K. Schenck

arxiv:math/0109070 v2 · 2001-09-11 · math.AG · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GS6IMOD7FTE4HMKHL52KY45X3N}

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	2026-05-18T04:38:49.103086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34bc86387f2cc9c3b1475f74ac73b7db5c9d7eff41b92a7b5ac5f04ab49ec3b3

Aliases

arxiv: math/0109070 · arxiv_version: math/0109070v2 · doi: 10.48550/arxiv.math/0109070 · pith_short_12: GS6IMOD7FTE4 · pith_short_16: GS6IMOD7FTE4HMKH · pith_short_8: GS6IMOD7

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/GS6IMOD7FTE4HMKHL52KY45X3N \
  | 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: 34bc86387f2cc9c3b1475f74ac73b7db5c9d7eff41b92a7b5ac5f04ab49ec3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20271ab228dba27c55859dbc7eba575cb2628c4ffc155201437fbcd527d93031",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-09-11T03:28:33Z",
    "title_canon_sha256": "c52a964a60437748704927f55cbd237d06dac9215f499882e5a3b421032017e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109070",
    "kind": "arxiv",
    "version": 2
  }
}