Pith Number

pith:I7TSNRIL

pith:2011:I7TSNRIL7ME24N4QFTM2EXAAJM

not attested not anchored not stored refs pending

The algebraic geometry of Harper operators

Dan Li

arxiv:1102.4136 v2 · 2011-02-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7TSNRIL7ME24N4QFTM2EXAAJM}

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	2026-05-18T02:37:59.108407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e726c50bfb09ae37902cd9a25c004b31f51eff7e080b83941f6bebc4abbad1

Aliases

arxiv: 1102.4136 · arxiv_version: 1102.4136v2 · doi: 10.48550/arxiv.1102.4136 · pith_short_12: I7TSNRIL7ME2 · pith_short_16: I7TSNRIL7ME24N4Q · pith_short_8: I7TSNRIL

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/I7TSNRIL7ME24N4QFTM2EXAAJM \
  | 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: 47e726c50bfb09ae37902cd9a25c004b31f51eff7e080b83941f6bebc4abbad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8b50515b5736deab3ae00f77eebe995698ca5c84d8c2207f35ddbe11c294e1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-21T05:30:04Z",
    "title_canon_sha256": "b0ec1a055a81e2f4abcead950a0ceb9d8b9c2dfd1f47a5cb564f90b66bc7c831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4136",
    "kind": "arxiv",
    "version": 2
  }
}