Pith Number

pith:S7SY4XFU

pith:2017:S7SY4XFUGRWXDHN5VJITO7XWUM

not attested not anchored not stored refs pending

On graphs of Hecke operators

Roberto Alvarenga

arxiv:1709.09243 v2 · 2017-09-26 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7SY4XFUGRWXDHN5VJITO7XWUM}

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	2026-05-17T23:52:09.558532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e58e5cb4346d719dbdaa51377ef6a32b4b0265cfd9c0d7af85a33462629b26

Aliases

arxiv: 1709.09243 · arxiv_version: 1709.09243v2 · doi: 10.48550/arxiv.1709.09243 · pith_short_12: S7SY4XFUGRWX · pith_short_16: S7SY4XFUGRWXDHN5 · pith_short_8: S7SY4XFU

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/S7SY4XFUGRWXDHN5VJITO7XWUM \
  | 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: 97e58e5cb4346d719dbdaa51377ef6a32b4b0265cfd9c0d7af85a33462629b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f9d2ed45df10e7ac44ad3a5247dc1759089da42cf2001ba5607dc331b2dd5a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-26T20:02:00Z",
    "title_canon_sha256": "17f949dd53c566fef9791f08dfb074a43d9605d7b83ddb3526761beaa004ac39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09243",
    "kind": "arxiv",
    "version": 2
  }
}