Pith Number

pith:2A5CYT3Z

pith:2016:2A5CYT3ZFHVZMDTQEFJP5F6M3N

not attested not anchored not stored refs pending

The Log Convex Density Conjecture in Hyperbolic Space

Dylanger Pittman, Jahangir Habib, Lea Kenigsberg, Leonardo Di Giosia, Weitao Zhu

arxiv:1610.07043 v1 · 2016-10-22 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2A5CYT3ZFHVZMDTQEFJP5F6M3N}

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	2026-05-18T01:01:35.349605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d03a2c4f7929eb960e702152fe97ccdb530e31a5907079e3831141e3fd03ed53

Aliases

arxiv: 1610.07043 · arxiv_version: 1610.07043v1 · doi: 10.48550/arxiv.1610.07043 · pith_short_12: 2A5CYT3ZFHVZ · pith_short_16: 2A5CYT3ZFHVZMDTQ · pith_short_8: 2A5CYT3Z

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/2A5CYT3ZFHVZMDTQEFJP5F6M3N \
  | 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: d03a2c4f7929eb960e702152fe97ccdb530e31a5907079e3831141e3fd03ed53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c078f0bc37945bf5fba74f2acaf1c9daa743ce361ac0b9fd39a5ba26441546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-22T12:46:26Z",
    "title_canon_sha256": "c40d4ebe2cfdbaad07a130b091fee76d3715fe704d984e4d51a5e0a3085ebca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07043",
    "kind": "arxiv",
    "version": 1
  }
}