Pith Number

pith:MNNWYKKS

pith:2016:MNNWYKKSLSY7IEDHENYMETR3PB

not attested not anchored not stored refs pending

A short proof of the characterization of model sets by almost automorphy

Jean-baptiste Aujogue

arxiv:1604.01377 v1 · 2016-04-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNNWYKKSLSY7IEDHENYMETR3PB}

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	2026-05-18T01:17:38.339000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635b6c29525cb1f410672370c24e3b785ae30f610887ba17b4f0bde0c6e5bcea

Aliases

arxiv: 1604.01377 · arxiv_version: 1604.01377v1 · doi: 10.48550/arxiv.1604.01377 · pith_short_12: MNNWYKKSLSY7 · pith_short_16: MNNWYKKSLSY7IEDH · pith_short_8: MNNWYKKS

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/MNNWYKKSLSY7IEDHENYMETR3PB \
  | 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: 635b6c29525cb1f410672370c24e3b785ae30f610887ba17b4f0bde0c6e5bcea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f099a7b094ec419b9a7b0d92b9800138d5889b0169fb140bbc2a32d8742eb5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-05T19:22:50Z",
    "title_canon_sha256": "20872a8a5f4538e461cbde10a7d2e9ba81f415a918df2abf8697b699cecd081d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01377",
    "kind": "arxiv",
    "version": 1
  }
}