Pith Number

pith:GMYVEF33

pith:2016:GMYVEF33SQELE7EAKNX2EFZQKS

not attested not anchored not stored refs pending

Hyperbolic and Parabolic Unimodular Random Maps

Asaf Nachmias, Gourab Ray, Omer Angel, Tom Hutchcroft

arxiv:1612.08693 v2 · 2016-12-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMYVEF33SQELE7EAKNX2EFZQKS}

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	2026-05-18T00:20:32.414454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333152177b9408b27c80536fa2173054b5502a7f1813585a1385d7b7a66f2fdc

Aliases

arxiv: 1612.08693 · arxiv_version: 1612.08693v2 · doi: 10.48550/arxiv.1612.08693 · pith_short_12: GMYVEF33SQEL · pith_short_16: GMYVEF33SQELE7EA · pith_short_8: GMYVEF33

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/GMYVEF33SQELE7EAKNX2EFZQKS \
  | 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: 333152177b9408b27c80536fa2173054b5502a7f1813585a1385d7b7a66f2fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0146c4a53c94224f976727874919b17fb3f75a5694b429ceae1754013a87834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-27T18:10:17Z",
    "title_canon_sha256": "00f94733a84dfb8a4f84b9fbd23cfbb4f8727516c7125649e2d980e7a6f5b1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08693",
    "kind": "arxiv",
    "version": 2
  }
}