Pith Number

pith:IPCZAH2E

pith:2005:IPCZAH2E54M7FDHR7UBP3FTJ2W

not attested not anchored not stored refs pending

Symplectic connections

John Rawnsley, Lorenz Schwachhofer, Michel Cahen, Pierre Bieliavsky, Simone Gutt

arxiv:math/0511194 v2 · 2005-11-08 · 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{IPCZAH2E54M7FDHR7UBP3FTJ2W}

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.

Cited by

1 paper in Pith

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds

Receipt and verification

First computed	2026-07-04T14:51:40.354085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c5901f44ef19f28cf1fd02fd9669d5b3064cd11aac326e78df76e7f68c2e1a

Aliases

arxiv: math/0511194 · arxiv_version: math/0511194v2 · doi: 10.48550/arxiv.math/0511194 · pith_short_12: IPCZAH2E54M7 · pith_short_16: IPCZAH2E54M7FDHR · pith_short_8: IPCZAH2E

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/IPCZAH2E54M7FDHR7UBP3FTJ2W \
  | 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: 43c5901f44ef19f28cf1fd02fd9669d5b3064cd11aac326e78df76e7f68c2e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea626f12f3e95dbcee772d06c85bffe7fd47c1b51259851b38e18e21f7654023",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2005-11-08T11:32:01Z",
    "title_canon_sha256": "30f8d9bcd90449f0d7c5b9e7c53e35526e8f2564eb1894f1cdd9ffde5cc79332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511194",
    "kind": "arxiv",
    "version": 2
  }
}