Pith Number

pith:57CJMK4D

pith:2015:57CJMK4DCPGQTQ6JXD7NB4APC5

not attested not anchored not stored refs pending

Elliptic singularities on log symplectic manifolds and Feigin--Odesskii Poisson brackets

Brent Pym

arxiv:1507.05668 v1 · 2015-07-20 · math.AG · math-ph · math.MP · 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{57CJMK4DCPGQTQ6JXD7NB4APC5}

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	2026-05-17T23:53:13.714417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc4962b8313cd09c3c9b8fed0f00f174b3bf3c5eb983e5eb5ffffd800c6a345

Aliases

arxiv: 1507.05668 · arxiv_version: 1507.05668v1 · doi: 10.48550/arxiv.1507.05668 · pith_short_12: 57CJMK4DCPGQ · pith_short_16: 57CJMK4DCPGQTQ6J · pith_short_8: 57CJMK4D

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/57CJMK4DCPGQTQ6JXD7NB4APC5 \
  | 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: efc4962b8313cd09c3c9b8fed0f00f174b3bf3c5eb983e5eb5ffffd800c6a345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9856fd90deae0897a971b0be9e4812e7edd746b0688997684349ddfa7e624fb1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-20T22:25:28Z",
    "title_canon_sha256": "4da5eda3247fcfebb20321947844d31c6a68775afc087868fc3733924c5fa937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05668",
    "kind": "arxiv",
    "version": 1
  }
}