Pith Number

pith:HGXIBWSN

pith:2022:HGXIBWSNWEGQ7BF3PUWDUC5NOP

not attested not anchored not stored refs pending

Hyperbolic 3-manifolds with boundary of polyhedral type

Roman Prosanov

arxiv:2210.17271 v2 · 2022-10-31 · math.GT · 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{HGXIBWSNWEGQ7BF3PUWDUC5NOP}

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	2026-07-05T08:46:04.981497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ae80da4db10d0f84bb7d2c3a0bad73f1c0f3ac1b8a0d2895e9892b86e598c4

Aliases

arxiv: 2210.17271 · arxiv_version: 2210.17271v2 · doi: 10.48550/arxiv.2210.17271 · pith_short_12: HGXIBWSNWEGQ · pith_short_16: HGXIBWSNWEGQ7BF3 · pith_short_8: HGXIBWSN

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/HGXIBWSNWEGQ7BF3PUWDUC5NOP \
  | 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: 39ae80da4db10d0f84bb7d2c3a0bad73f1c0f3ac1b8a0d2895e9892b86e598c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ae059faa0f0d38617e9db17078a41779626d69d5165f2655e59607aabf3ca2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-10-31T12:59:38Z",
    "title_canon_sha256": "2fcb0a78c4f5a77cb78cc598e66023c905d8911754dbedb8f65e35e69d9e2a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.17271",
    "kind": "arxiv",
    "version": 2
  }
}