Pith Number

pith:JZY6K763

pith:2012:JZY6K763ECNRZBIUI3NRQCHFWB

not attested not anchored not stored refs pending

Phi-transform on domains

Isaac Z. Pesenson

arxiv:1208.5165 v6 · 2012-08-25 · 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{JZY6K763ECNRZBIUI3NRQCHFWB}

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	2026-05-18T03:02:57.479536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e71e57fdb209b1c851446db1808e5b05710b35cb6c15bcdb87d12b4174ec9a3

Aliases

arxiv: 1208.5165 · arxiv_version: 1208.5165v6 · doi: 10.48550/arxiv.1208.5165 · pith_short_12: JZY6K763ECNR · pith_short_16: JZY6K763ECNRZBIU · pith_short_8: JZY6K763

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/JZY6K763ECNRZBIUI3NRQCHFWB \
  | 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: 4e71e57fdb209b1c851446db1808e5b05710b35cb6c15bcdb87d12b4174ec9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "962646793b82cff29f01dc84bb391ae34589697d46a95b4369d9c3c53418df92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-25T19:48:18Z",
    "title_canon_sha256": "32d5fbd46e44cc869af8d3069039c68d38967d1ff6010db7c09743bc585f65ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5165",
    "kind": "arxiv",
    "version": 6
  }
}