Pith Number

pith:4EEIULLM

pith:2009:4EEIULLMS3FJSPG2UVHSURWN5Z

not attested not anchored not stored refs pending

Generic singularities of symplectic and quasi-symplectic immersions

M. Zhitomirskii, S. Janeczko, W. Domitrz

arxiv:0903.2148 v3 · 2009-03-12 · 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{4EEIULLMS3FJSPG2UVHSURWN5Z}

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	2026-05-18T01:03:37.411211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1088a2d6c96ca993cdaa54f2a46cdee6d0611463facda75512ac96d963d0d14

Aliases

arxiv: 0903.2148 · arxiv_version: 0903.2148v3 · doi: 10.48550/arxiv.0903.2148 · pith_short_12: 4EEIULLMS3FJ · pith_short_16: 4EEIULLMS3FJSPG2 · pith_short_8: 4EEIULLM

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/4EEIULLMS3FJSPG2UVHSURWN5Z \
  | 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: e1088a2d6c96ca993cdaa54f2a46cdee6d0611463facda75512ac96d963d0d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1104bad0ead40593942ce68d0262b0092761c4781d029b61ec0f2f6fd8390fa0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-03-12T11:13:46Z",
    "title_canon_sha256": "30802feeabfa8cc66e4b1c83feb07ada67fe9368326febde661aba7458617e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2148",
    "kind": "arxiv",
    "version": 3
  }
}