Pith Number

pith:NREK42RV

pith:2009:NREK42RVCTO3PPPWAYJCMTOZGL

not attested not anchored not stored refs pending

Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds

Anton Malkin, Eugene Lerman

arxiv:0908.0903 v2 · 2009-08-06 · math.SG · 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{NREK42RVCTO3PPPWAYJCMTOZGL}

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	2026-05-18T04:06:56.942994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c48ae6a3514ddb7bdf60612264dd932d827276af9b8b33c61cd8a2f725c3ec2

Aliases

arxiv: 0908.0903 · arxiv_version: 0908.0903v2 · doi: 10.48550/arxiv.0908.0903 · pith_short_12: NREK42RVCTO3 · pith_short_16: NREK42RVCTO3PPPW · pith_short_8: NREK42RV

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/NREK42RVCTO3PPPWAYJCMTOZGL \
  | 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: 6c48ae6a3514ddb7bdf60612264dd932d827276af9b8b33c61cd8a2f725c3ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e354a7de6299894431f1cb31176391f3e2abbf90d5ee4d1e15ce4b75afefd93",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-08-06T16:13:04Z",
    "title_canon_sha256": "ca9521bd31404e04a168eb60fdedb008d2d9b4574b75613c92614df255d05328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0903",
    "kind": "arxiv",
    "version": 2
  }
}