Pith Number

pith:BHUXCJ6F

pith:2016:BHUXCJ6FCR4Z4QL7MCAEOAP2K3

not attested not anchored not stored refs pending

Combinatorial decompositions, Kirillov-Reshetikhin invariants and the Volume Conjecture for hyperbolic polyhedra

Alexander Kolpakov, Jun Murakami

arxiv:1603.02380 v1 · 2016-03-08 · math.GT · math.DG · 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{BHUXCJ6FCR4Z4QL7MCAEOAP2K3}

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	2026-05-18T01:19:23.540960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e97127c514799e417f60804701fa56fe373ac827801dabec8cbedb634c2cf0

Aliases

arxiv: 1603.02380 · arxiv_version: 1603.02380v1 · doi: 10.48550/arxiv.1603.02380 · pith_short_12: BHUXCJ6FCR4Z · pith_short_16: BHUXCJ6FCR4Z4QL7 · pith_short_8: BHUXCJ6F

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/BHUXCJ6FCR4Z4QL7MCAEOAP2K3 \
  | 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: 09e97127c514799e417f60804701fa56fe373ac827801dabec8cbedb634c2cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d130e8cbbae7c61e29336b19227ed1368844cced716aa525ec5236874ddfa268",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-08T04:45:40Z",
    "title_canon_sha256": "1ecd86a66362e0fcf8b16c90deffb4f0ff0face8ffdbe4b03b41d5b2ddc704b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02380",
    "kind": "arxiv",
    "version": 1
  }
}