Pith Number

pith:3SCCMP54

pith:2011:3SCCMP54ZS4K7A7T7C5UR6HHGT

not attested not anchored not stored refs pending

Multi-circled singularities, Lelong numbers, and integrability index

Alexander Rashkovskii

arxiv:1104.3675 v2 · 2011-04-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SCCMP54ZS4K7A7T7C5UR6HHGT}

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	2026-05-18T04:00:39.388772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc84263fbcccb8af83f3f8bb48f8e734c0e28f3b7f6c98eeb7b1276843d9aa6a

Aliases

arxiv: 1104.3675 · arxiv_version: 1104.3675v2 · doi: 10.48550/arxiv.1104.3675 · pith_short_12: 3SCCMP54ZS4K · pith_short_16: 3SCCMP54ZS4K7A7T · pith_short_8: 3SCCMP54

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/3SCCMP54ZS4K7A7T7C5UR6HHGT \
  | 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: dc84263fbcccb8af83f3f8bb48f8e734c0e28f3b7f6c98eeb7b1276843d9aa6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461ca9c816bd566bb7ff496c7a8aeffdbda73b14a11677c1d483f07999d2c092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-19T08:43:25Z",
    "title_canon_sha256": "893ba4b2397dc4c3e4b8f2278093a2480e91adef0d644d697b339e69dce30342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3675",
    "kind": "arxiv",
    "version": 2
  }
}