Pith Number

pith:L3WSFQTW

pith:1999:L3WSFQTWQ4OODQM75QI2664XTE

not attested not anchored not stored refs pending

Arrangements of hyperplanes I: Rational functions and Jeffrey-Kirwan residue

Michel Brion, Michele Vergne

arxiv:math/9903178 v1 · 1999-03-30 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3WSFQTWQ4OODQM75QI2664XTE}

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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.

Cited by

2 papers in Pith

Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

Receipt and verification

First computed	2026-07-04T14:41:06.199596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eed22c276871ce1c19fec11af7b97991f73a9a0be7c3e5e987555ca00b0c24f

Aliases

arxiv: math/9903178 · arxiv_version: math/9903178v1 · doi: 10.48550/arxiv.math/9903178 · pith_short_12: L3WSFQTWQ4OO · pith_short_16: L3WSFQTWQ4OODQM7 · pith_short_8: L3WSFQTW

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/L3WSFQTWQ4OODQM75QI2664XTE \
  | 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: 5eed22c276871ce1c19fec11af7b97991f73a9a0be7c3e5e987555ca00b0c24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d884f5ec53eb7d6fd6dfae115805f49c745593cd05b4b5e87df99f74d215b64",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-03-30T11:50:32Z",
    "title_canon_sha256": "3f94f74dde1ab0fc474fc19fe7248999ce905db58ad4fccf639ef222ba249463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903178",
    "kind": "arxiv",
    "version": 1
  }
}