Pith Number

pith:F4QYW5TP

pith:2011:F4QYW5TPURD5KYW6ZMRQUNVKAL

not attested not anchored not stored refs pending

Vanishing results for the cohomology of complex toric hyperplane complements

M. W. Davis, S. Settepanella

arxiv:1111.2866 v2 · 2011-11-11 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4QYW5TPURD5KYW6ZMRQUNVKAL}

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	2026-05-18T02:47:05.972143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f218b766fa447d562decb230a36aa02e724b697a8746499df475473721687e3

Aliases

arxiv: 1111.2866 · arxiv_version: 1111.2866v2 · doi: 10.48550/arxiv.1111.2866 · pith_short_12: F4QYW5TPURD5 · pith_short_16: F4QYW5TPURD5KYW6 · pith_short_8: F4QYW5TP

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/F4QYW5TPURD5KYW6ZMRQUNVKAL \
  | 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: 2f218b766fa447d562decb230a36aa02e724b697a8746499df475473721687e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312d111932931965edafbe3fc45ea771b9b82c427d81756a619499de60335134",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-11T21:12:27Z",
    "title_canon_sha256": "d234a5e2be86bf5236eed0e0e84deca7156f91d26eaa0f20ac541fbba116a1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2866",
    "kind": "arxiv",
    "version": 2
  }
}