Pith Number

pith:OULQGKLO

pith:2013:OULQGKLOML67IZXEJ5AU5P2BFE

not attested not anchored not stored refs pending

Homology of curves and surfaces in closed hyperbolic 3-manifolds

Vladimir Markovic, Yi Liu

arxiv:1309.7418 v3 · 2013-09-28 · 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{OULQGKLOML67IZXEJ5AU5P2BFE}

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	2026-05-18T01:28:06.146167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

751703296e62fdf466e44f414ebf412915b4dc5dc61b628c0d3ebc71019daf36

Aliases

arxiv: 1309.7418 · arxiv_version: 1309.7418v3 · doi: 10.48550/arxiv.1309.7418 · pith_short_12: OULQGKLOML67 · pith_short_16: OULQGKLOML67IZXE · pith_short_8: OULQGKLO

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/OULQGKLOML67IZXEJ5AU5P2BFE \
  | 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: 751703296e62fdf466e44f414ebf412915b4dc5dc61b628c0d3ebc71019daf36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c1032fd8b9724bb96799a58eb2f3e1bf052d1b01ec72f3a85f95a66d3784ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-28T03:34:43Z",
    "title_canon_sha256": "db7f477c345d3c5c4e165eaa9055f986df71a618d7b4cba9abe24b3bb4e33fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7418",
    "kind": "arxiv",
    "version": 3
  }
}