Pith Number

pith:M4Q457NE

pith:2016:M4Q457NE72Y6TTOFZA2CX7XHMZ

not attested not anchored not stored refs pending

On the Theory of Type 1,1-Operators

Jon Johnsen

arxiv:1610.04469 v2 · 2016-10-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4Q457NE72Y6TTOFZA2CX7XHMZ}

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	2026-05-18T00:48:26.283680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6721cefda4feb1e9cdc5c8342bfee7667834f2c8bb6d306068d9a9912cd14a27

Aliases

arxiv: 1610.04469 · arxiv_version: 1610.04469v2 · doi: 10.48550/arxiv.1610.04469 · pith_short_12: M4Q457NE72Y6 · pith_short_16: M4Q457NE72Y6TTOF · pith_short_8: M4Q457NE

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/M4Q457NE72Y6TTOFZA2CX7XHMZ \
  | 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: 6721cefda4feb1e9cdc5c8342bfee7667834f2c8bb6d306068d9a9912cd14a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d854f7887a967f0fc4b5b9c9a6f654f3d53f5bbf8c82a2573d8d2f525c0dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-14T14:03:57Z",
    "title_canon_sha256": "18066ee72669faaa776a35d6d99734ce1b591bf42a1d1e8cdfac41878c8401fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04469",
    "kind": "arxiv",
    "version": 2
  }
}