Pith Number

pith:AOHSBXFN

pith:2006:AOHSBXFN45HCYWRQVDVLOVWJM3

not attested not anchored not stored refs pending

Blocking light in compact Riemannian manifolds

B. Schmidt, J.-F. Lafont

arxiv:math/0607789 v1 · 2006-07-31 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOHSBXFN45HCYWRQVDVLOVWJM3}

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	2026-05-18T02:37:59.583583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038f20dcade74e2c5a30a8eab756c966e3329a7f6448801d4f66b01ee897c2a4

Aliases

arxiv: math/0607789 · arxiv_version: math/0607789v1 · doi: 10.48550/arxiv.math/0607789 · pith_short_12: AOHSBXFN45HC · pith_short_16: AOHSBXFN45HCYWRQ · pith_short_8: AOHSBXFN

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/AOHSBXFN45HCYWRQVDVLOVWJM3 \
  | 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: 038f20dcade74e2c5a30a8eab756c966e3329a7f6448801d4f66b01ee897c2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffa298fcc05a1ef149464bc9cc3755c7169cca5841920ae2349e5671ad4b3d5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-31T02:32:29Z",
    "title_canon_sha256": "23243f97e4ae0d9481b06e366840829ef5de06e386e48fd295aa4beb07d3c93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607789",
    "kind": "arxiv",
    "version": 1
  }
}