Pith Number

pith:52OUMGPV

pith:2015:52OUMGPVW44BKNMXQZIKZ4Z2A4

not attested not anchored not stored refs pending

Convexity of the renormalized volume of hyperbolic $3$-manifolds

Sergiu Moroianu

arxiv:1503.07981 v1 · 2015-03-27 · 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{52OUMGPVW44BKNMXQZIKZ4Z2A4}

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	2026-05-18T02:20:11.801654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9d4619f5b7381535978650acf33a070d64fe7a6c01ac613e5a078a94641ea8

Aliases

arxiv: 1503.07981 · arxiv_version: 1503.07981v1 · doi: 10.48550/arxiv.1503.07981 · pith_short_12: 52OUMGPVW44B · pith_short_16: 52OUMGPVW44BKNMX · pith_short_8: 52OUMGPV

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/52OUMGPVW44BKNMXQZIKZ4Z2A4 \
  | 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: ee9d4619f5b7381535978650acf33a070d64fe7a6c01ac613e5a078a94641ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c026ff1b48befee99f22f09f1dae6b1de6e94eee3449a3d83fd57f4b26b830c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-27T07:25:39Z",
    "title_canon_sha256": "86118e0236ca6b100b984a4cb5c4c3585b4515df79878b79d41ac6fe5a7cc53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07981",
    "kind": "arxiv",
    "version": 1
  }
}