Pith Number

pith:VYKRPU6J

pith:2013:VYKRPU6JROHQ6SJU4XFLFEHGHB

not attested not anchored not stored refs pending

Generalized geometric structures on complex and symplectic manifolds

Marcos Salvai

arxiv:1309.7232 v2 · 2013-09-27 · math.DG · 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{VYKRPU6JROHQ6SJU4XFLFEHGHB}

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	2026-05-18T02:17:24.707181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1517d3c98b8f0f4934e5cab290e6384d699b6c80cb491ab13e0d02b149cf0b

Aliases

arxiv: 1309.7232 · arxiv_version: 1309.7232v2 · doi: 10.48550/arxiv.1309.7232 · pith_short_12: VYKRPU6JROHQ · pith_short_16: VYKRPU6JROHQ6SJU · pith_short_8: VYKRPU6J

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/VYKRPU6JROHQ6SJU4XFLFEHGHB \
  | 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: ae1517d3c98b8f0f4934e5cab290e6384d699b6c80cb491ab13e0d02b149cf0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5706e850d1a5e22127922c71ac247df2d5333e7f973fee00e9aeaabf6afc631f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-27T13:21:48Z",
    "title_canon_sha256": "e775aeb254edfc495a6a0d103df77438c383629be22e5745b0e1fa7cd0ab8169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7232",
    "kind": "arxiv",
    "version": 2
  }
}