Pith Number

pith:A53URBOW

pith:2017:A53URBOW7VGDHXYXWX3NDPSVRD

not attested not anchored not stored refs pending

Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

arxiv:1712.06470 v1 · 2017-12-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A53URBOW7VGDHXYXWX3NDPSVRD}

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	2026-05-17T23:58:05.251898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07774885d6fd4c33df17b5f6d1be5588c8e0d5f52ff037d96c1f23e3de206621

Aliases

arxiv: 1712.06470 · arxiv_version: 1712.06470v1 · doi: 10.48550/arxiv.1712.06470 · pith_short_12: A53URBOW7VGD · pith_short_16: A53URBOW7VGDHXYX · pith_short_8: A53URBOW

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/A53URBOW7VGDHXYXWX3NDPSVRD \
  | 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: 07774885d6fd4c33df17b5f6d1be5588c8e0d5f52ff037d96c1f23e3de206621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652f3f7311cb60e0262d4c99a0286ed5847e29697da4f70f8c47f2b0be25ca01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-18T15:30:14Z",
    "title_canon_sha256": "390bade2f7d569e8d17d2c66e999dfa497084beba3d0336529413e6488825bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06470",
    "kind": "arxiv",
    "version": 1
  }
}