Pith Number

pith:H4H5VGRV

pith:2013:H4H5VGRVHLU5HDPMVEO27DRIV4

not attested not anchored not stored refs pending

Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology

Pablo Ramacher

arxiv:1310.1687 v1 · 2013-10-07 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4H5VGRVHLU5HDPMVEO27DRIV4}

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	2026-05-18T03:11:10.963779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0fda9a353ae9d38deca91daf8e28af00a02df0217f441c020045a3ef54ffa8

Aliases

arxiv: 1310.1687 · arxiv_version: 1310.1687v1 · doi: 10.48550/arxiv.1310.1687 · pith_short_12: H4H5VGRVHLU5 · pith_short_16: H4H5VGRVHLU5HDPM · pith_short_8: H4H5VGRV

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/H4H5VGRVHLU5HDPMVEO27DRIV4 \
  | 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: 3f0fda9a353ae9d38deca91daf8e28af00a02df0217f441c020045a3ef54ffa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7aaf997c280a6d9de6d4f37db87ec47630db5422e2b23dac73b6fd1599c707c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-10-07T06:48:17Z",
    "title_canon_sha256": "82ad3c1a39b2a589074b8b94492be3742cbd4329d7badc19c9da2fad70f7e919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1687",
    "kind": "arxiv",
    "version": 1
  }
}