Pith Number

pith:SF6LSL3M

pith:2021:SF6LSL3MKPCTE5L5WKGGZKP7Y6

not attested not anchored not stored refs pending

Area, Scalar Curvature, and Hyperbolic 3-Manifolds

Ben Lowe

arxiv:2102.03660 v3 · 2021-02-06 · 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{SF6LSL3MKPCTE5L5WKGGZKP7Y6}

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

Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds

Receipt and verification

First computed	2026-07-05T03:23:38.698941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917cb92f6c53c532757db28c6ca9ffc7b33fd65fbc34d432939e756e30d1625c

Aliases

arxiv: 2102.03660 · arxiv_version: 2102.03660v3 · doi: 10.48550/arxiv.2102.03660 · pith_short_12: SF6LSL3MKPCT · pith_short_16: SF6LSL3MKPCTE5L5 · pith_short_8: SF6LSL3M

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/SF6LSL3MKPCTE5L5WKGGZKP7Y6 \
  | 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: 917cb92f6c53c532757db28c6ca9ffc7b33fd65fbc34d432939e756e30d1625c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5c2a65e6f7da242be8e2e7dc659312e2d608eed7e5b54f0fbe7d692e8a11bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-02-06T20:19:22Z",
    "title_canon_sha256": "311e05bd30d2083f6d311a59f57283b14a8cf9224e9720b4f0542a97f771f734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.03660",
    "kind": "arxiv",
    "version": 3
  }
}