Pith Number

pith:VHS3IXDM

pith:2014:VHS3IXDM4NHAIUCLSXRWK626BC

not attested not anchored not stored refs pending

Chern-Weil theory and the group of strict contactomorphisms

Old\v{r}ich Sp\'a\v{c}il, Roger Casals

arxiv:1409.1913 v2 · 2014-09-05 · math.SG · math.AT · 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{VHS3IXDM4NHAIUCLSXRWK626BC}

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	2026-05-18T02:17:21.893813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e5b45c6ce34e04504b95e3657b5e089d1e6d38ac0f75d9acf51e48757fd177

Aliases

arxiv: 1409.1913 · arxiv_version: 1409.1913v2 · doi: 10.48550/arxiv.1409.1913 · pith_short_12: VHS3IXDM4NHA · pith_short_16: VHS3IXDM4NHAIUCL · pith_short_8: VHS3IXDM

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/VHS3IXDM4NHAIUCLSXRWK626BC \
  | 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: a9e5b45c6ce34e04504b95e3657b5e089d1e6d38ac0f75d9acf51e48757fd177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a5d1dd46bb8109a9ce7384fa0fb155686631fd04b25b6e14c980dbcd4fbaeb",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-09-05T19:52:09Z",
    "title_canon_sha256": "d17a90588ced29762755ddeaeabca87f97c609b951f5499ded1365236e33a88c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1913",
    "kind": "arxiv",
    "version": 2
  }
}