Pith Number

pith:HE2UZ4WB

pith:2012:HE2UZ4WBGYNAYBTVYRUXX76YRC

not attested not anchored not stored refs pending

On turbulent relations

Alberto Candel, Jes\'us A. \'Alvarez L\'opez

arxiv:1209.0307 v8 · 2012-09-03 · math.LO · math.DS · 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{HE2UZ4WBGYNAYBTVYRUXX76YRC}

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	2026-05-18T00:55:18.009936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39354cf2c1361a0c0675c4697bffd888a92bf5f745fa75b83229d58d0335c7ff

Aliases

arxiv: 1209.0307 · arxiv_version: 1209.0307v8 · doi: 10.48550/arxiv.1209.0307 · pith_short_12: HE2UZ4WBGYNA · pith_short_16: HE2UZ4WBGYNAYBTV · pith_short_8: HE2UZ4WB

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/HE2UZ4WBGYNAYBTVYRUXX76YRC \
  | 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: 39354cf2c1361a0c0675c4697bffd888a92bf5f745fa75b83229d58d0335c7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a46325e625904ec2c97cad759e7a9c055abc881990925f783ce35b28ed9712",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-03T11:14:23Z",
    "title_canon_sha256": "75867715e32d23fde5bef3c89883bf4dfb5622abb9d5053e11a5666a96926104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0307",
    "kind": "arxiv",
    "version": 8
  }
}