Pith Number

pith:W3MX42NB

pith:2011:W3MX42NBDRETNJOAO2Y3FHLYI5

not attested not anchored not stored refs pending

Pseudo-Riemannian geodesic foliations by circles

Pierre Mounoud (IMB), Stefan Suhr

arxiv:1112.5652 v3 · 2011-12-23 · 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{W3MX42NBDRETNJOAO2Y3FHLYI5}

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	2026-05-18T03:59:24.945423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d97e69a11c4936a5c076b1b29d7847747c533afb55dd6c9d4d815a27922ef9

Aliases

arxiv: 1112.5652 · arxiv_version: 1112.5652v3 · doi: 10.48550/arxiv.1112.5652 · pith_short_12: W3MX42NBDRET · pith_short_16: W3MX42NBDRETNJOA · pith_short_8: W3MX42NB

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/W3MX42NBDRETNJOAO2Y3FHLYI5 \
  | 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: b6d97e69a11c4936a5c076b1b29d7847747c533afb55dd6c9d4d815a27922ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8550e95a15c4b13aa331e84edb47f87c51e91685c2b186c235efa4bf67d7f1f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-23T20:24:34Z",
    "title_canon_sha256": "8cff22a28696b149f9738cfb96ff7987298679fa2791e9376108810e7c188fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5652",
    "kind": "arxiv",
    "version": 3
  }
}