Pith Number

pith:TGIAHRBN

pith:2016:TGIAHRBNXEPHPDGI2AX6XB4O6A

not attested not anchored not stored refs pending

Maps with the Radon-Nikod\'ym property

Luis Garc\'ia-Lirola, Mat\'ias Raja

arxiv:1612.08585 v2 · 2016-12-27 · 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{TGIAHRBNXEPHPDGI2AX6XB4O6A}

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	2026-05-18T00:43:20.782261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999003c42db91e778cc8d02feb878ef02d4319171d15ca4439b9eb205bbe21f0

Aliases

arxiv: 1612.08585 · arxiv_version: 1612.08585v2 · doi: 10.48550/arxiv.1612.08585 · pith_short_12: TGIAHRBNXEPH · pith_short_16: TGIAHRBNXEPHPDGI · pith_short_8: TGIAHRBN

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/TGIAHRBNXEPHPDGI2AX6XB4O6A \
  | 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: 999003c42db91e778cc8d02feb878ef02d4319171d15ca4439b9eb205bbe21f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89bc8b60e163a6d01c3f69d0b33acc858d3bdb3d0fb8b9c915b82cb8e9a9cbaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-27T11:47:04Z",
    "title_canon_sha256": "2b63ff88dd151211c2936a82163a41f3e0a095885b7888c445c2ec6bf9e426fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08585",
    "kind": "arxiv",
    "version": 2
  }
}