Pith Number

pith:M5ZMGYOW

pith:2014:M5ZMGYOWLIBIRVLDO3T6J6FIIY

not attested not anchored not stored refs pending

Eisenstein Quasimodes and QUE

Shimon Brooks

arxiv:1410.8179 v2 · 2014-10-29 · math.SP · math-ph · math.MP · 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{M5ZMGYOWLIBIRVLDO3T6J6FIIY}

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	2026-05-18T02:27:44.106113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6772c361d65a0288d56376e7e4f8a8460a586944a0c80ed7ffcfb0aea5b52c20

Aliases

arxiv: 1410.8179 · arxiv_version: 1410.8179v2 · doi: 10.48550/arxiv.1410.8179 · pith_short_12: M5ZMGYOWLIBI · pith_short_16: M5ZMGYOWLIBIRVLD · pith_short_8: M5ZMGYOW

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/M5ZMGYOWLIBIRVLDO3T6J6FIIY \
  | 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: 6772c361d65a0288d56376e7e4f8a8460a586944a0c80ed7ffcfb0aea5b52c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5693eac7316f179473ef53aa030acff6da2a7058391133bbf2cb1c9dda954c57",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-10-29T22:29:47Z",
    "title_canon_sha256": "3684998f912152ab7729ae185104585fca4a699ec225d49d18720c2d7f50b08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8179",
    "kind": "arxiv",
    "version": 2
  }
}