Pith Number

pith:K4X757CJ

pith:2017:K4X757CJUB7SXMOW555JJNVP5F

not attested not anchored not stored refs pending

Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds

E. Fominykh, M. Mulazzani, P. Cristofori, V. Tarkaev

arxiv:1706.02143 v2 · 2017-06-07 · 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{K4X757CJUB7SXMOW555JJNVP5F}

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	2026-05-18T00:28:55.449882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572ffefc49a07f2bb1d6ef7a94b6afe947352092f824fdb1a7c284ac27a8d3ec

Aliases

arxiv: 1706.02143 · arxiv_version: 1706.02143v2 · doi: 10.48550/arxiv.1706.02143 · pith_short_12: K4X757CJUB7S · pith_short_16: K4X757CJUB7SXMOW · pith_short_8: K4X757CJ

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/K4X757CJUB7SXMOW555JJNVP5F \
  | 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: 572ffefc49a07f2bb1d6ef7a94b6afe947352092f824fdb1a7c284ac27a8d3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5faa3af5a46316a2b7bf737de90674b270ec5f6e5a561338da84073d754df75c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-07T12:10:20Z",
    "title_canon_sha256": "32584f6973eb2d95e2fc1878de61d2aabf79e2636d29c89a8e688fb7d922a23a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02143",
    "kind": "arxiv",
    "version": 2
  }
}