Pith Number

pith:K4JVYJPK

pith:2015:K4JVYJPK27ODJSWO2OFSG3Z6KU

not attested not anchored not stored refs pending

Hyperbolic Dimension and Decomposition Complexity

Andrew Nicas, David Rosenthal

arxiv:1509.06437 v1 · 2015-09-22 · 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{K4JVYJPK27ODJSWO2OFSG3Z6KU}

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	2026-05-18T01:32:20.320561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57135c25ead7dc34caced38b236f3e5503d8ab68cccf16a758b13a63558efb89

Aliases

arxiv: 1509.06437 · arxiv_version: 1509.06437v1 · doi: 10.48550/arxiv.1509.06437 · pith_short_12: K4JVYJPK27OD · pith_short_16: K4JVYJPK27ODJSWO · pith_short_8: K4JVYJPK

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/K4JVYJPK27ODJSWO2OFSG3Z6KU \
  | 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: 57135c25ead7dc34caced38b236f3e5503d8ab68cccf16a758b13a63558efb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a997905a04b064bbe89a63af34569e03fb68dc3fdf3e8d016c296f1cc7f7ab",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-22T01:13:38Z",
    "title_canon_sha256": "9e5694708c9ecd1055ed89ec5e743332cce9877f6cd9197602f4fbcc1fc76602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06437",
    "kind": "arxiv",
    "version": 1
  }
}