Pith Number

pith:LTYT4KQR

pith:2006:LTYT4KQR7R635UAZHIVEK7R2TM

not attested not anchored not stored refs pending

On the renormalized volume of hyperbolic 3-manifolds

Jean-Marc Schlenker, Kirill Krasnov

arxiv:math/0607081 v3 · 2006-07-04 · math.DG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTYT4KQR7R635UAZHIVEK7R2TM}

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.

Cited by

1 paper in Pith

Triangulating quantum gravity in AdS$_3$

Receipt and verification

First computed	2026-07-04T15:26:10.535619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf13e2a11fc7dbed0193a2a457e3a9b02e7a751fd67f193b97ada97dd3e416a

Aliases

arxiv: math/0607081 · arxiv_version: math/0607081v3 · doi: 10.48550/arxiv.math/0607081 · pith_short_12: LTYT4KQR7R63 · pith_short_16: LTYT4KQR7R635UAZ · pith_short_8: LTYT4KQR

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/LTYT4KQR7R635UAZHIVEK7R2TM \
  | 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: 5cf13e2a11fc7dbed0193a2a457e3a9b02e7a751fd67f193b97ada97dd3e416a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb7ea7a4037512f2299006a08a33bc94899cd119cab7f4861f0cc151c599d29",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-04T10:15:01Z",
    "title_canon_sha256": "5ee3f29cc7bd7ee09b6a5c60c7b7468f2ef3a34adddac9d23f7086f417e2c7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607081",
    "kind": "arxiv",
    "version": 3
  }
}