Pith Number

pith:VNIES2Y7

pith:2017:VNIES2Y7E2VHPIBBSXVC5BC6SB

not attested not anchored not stored refs pending

Convexity of singular affine structures and toric-focus integrable Hamiltonian systems

Christophe Wacheux, Nguyen Tien Zung, Tudor Ratiu

arxiv:1706.01093 v2 · 2017-06-04 · 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{VNIES2Y7E2VHPIBBSXVC5BC6SB}

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	2026-05-18T00:05:39.755473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab50496b1f26aa77a02195ea2e845e9073ff1e856f97623948469d6a82abbdb7

Aliases

arxiv: 1706.01093 · arxiv_version: 1706.01093v2 · doi: 10.48550/arxiv.1706.01093 · pith_short_12: VNIES2Y7E2VH · pith_short_16: VNIES2Y7E2VHPIBB · pith_short_8: VNIES2Y7

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/VNIES2Y7E2VHPIBBSXVC5BC6SB \
  | 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: ab50496b1f26aa77a02195ea2e845e9073ff1e856f97623948469d6a82abbdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d025f170c894ea16eb5fd9dd9f8c182924111efae09f39b2735c4ba65d4f8269",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-06-04T15:34:35Z",
    "title_canon_sha256": "3d35aa4aade59b69b78383101c8737c14e57a9d5f8aef48a6c877f7dd2f3828e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01093",
    "kind": "arxiv",
    "version": 2
  }
}