Pith Number

pith:TBUYO4NQ

pith:2013:TBUYO4NQSNZBX3Z5JZJHTA2I42

not attested not anchored not stored refs pending

Adaptive deterministic dyadic grids on spaces of homogeneous type

Markus Passenbrunner, Richard Lechner

arxiv:1312.3490 v2 · 2013-12-12 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBUYO4NQSNZBX3Z5JZJHTA2I42}

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	2026-05-18T00:04:24.544245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98698771b093721bef3d4e52798348e685b8a5eaab64e515fb64658f1b1bf50f

Aliases

arxiv: 1312.3490 · arxiv_version: 1312.3490v2 · doi: 10.48550/arxiv.1312.3490 · pith_short_12: TBUYO4NQSNZB · pith_short_16: TBUYO4NQSNZBX3Z5 · pith_short_8: TBUYO4NQ

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/TBUYO4NQSNZBX3Z5JZJHTA2I42 \
  | 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: 98698771b093721bef3d4e52798348e685b8a5eaab64e515fb64658f1b1bf50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38fc5612447e16ff04166b481085a4cf300957d6e9fcfe433c17095c2922aa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-12T14:02:16Z",
    "title_canon_sha256": "78e91654f8298dfff0e2948aa34728398e75b2cea4bfb5e2919fc00e9aacde51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3490",
    "kind": "arxiv",
    "version": 2
  }
}