Pith Number

pith:Z3B3GKUA

pith:2022:Z3B3GKUAEQSSORKJOG6MNSJRVE

not attested not anchored not stored refs pending

Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds

Roman Prosanov

arxiv:2203.16971 v5 · 2022-03-31 · math.MG · 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{Z3B3GKUAEQSSORKJOG6MNSJRVE}

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	2026-07-05T09:57:35.349786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec3b32a80242527454971bcc6c931a922e1deeb75c7fe03fc604b436cba5396

Aliases

arxiv: 2203.16971 · arxiv_version: 2203.16971v5 · doi: 10.48550/arxiv.2203.16971 · pith_short_12: Z3B3GKUAEQSS · pith_short_16: Z3B3GKUAEQSSORKJ · pith_short_8: Z3B3GKUA

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/Z3B3GKUAEQSSORKJOG6MNSJRVE \
  | 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: cec3b32a80242527454971bcc6c931a922e1deeb75c7fe03fc604b436cba5396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb78fc3bbd9c0c7c16af80c4325c5c66ff197aeb827c65be569a586e206495d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-03-31T11:43:08Z",
    "title_canon_sha256": "c7927ec5f215e70bb7288db1546a437d4e8b9614d4dc299dd847d39cbdcd4dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.16971",
    "kind": "arxiv",
    "version": 5
  }
}