Pith Number

pith:BHCAVRVO

pith:2019:BHCAVRVOETVKHPD6EDKHXK5NX3

not attested not anchored not stored refs pending

Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry

Christopher Child, Daniil Osudin, Yang-Hui He

arxiv:1908.01742 v1 · 2019-08-05 · cs.GR · 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{BHCAVRVOETVKHPD6EDKHXK5NX3}

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	2026-07-04T23:52:42.067959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c40ac6ae24eaa3bc7e20d47babadbed71d4fc49c756cb0c2ff2a98e4175bf4

Aliases

arxiv: 1908.01742 · arxiv_version: 1908.01742v1 · doi: 10.48550/arxiv.1908.01742 · pith_short_12: BHCAVRVOETVK · pith_short_16: BHCAVRVOETVKHPD6 · pith_short_8: BHCAVRVO

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/BHCAVRVOETVKHPD6EDKHXK5NX3 \
  | 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: 09c40ac6ae24eaa3bc7e20d47babadbed71d4fc49c756cb0c2ff2a98e4175bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca51dcb726f4d30a3c3ab3cd9f1beafb0fcd147c5b4bfafe2302d781ea0de380",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2019-08-05T17:33:45Z",
    "title_canon_sha256": "b92ed78a25129ab82767aaec19a894716b320b14adb43c9219073af1f713cf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01742",
    "kind": "arxiv",
    "version": 1
  }
}