Pith Number

pith:NPDXOLFA

pith:2017:NPDXOLFANDSH55J5KUXILNC5LK

not attested not anchored not stored refs pending

Noncommutative modular symbols and Eisenstein series

Cormac O'Sullivan, Gautam Chinta, Ivan Horozov

arxiv:1704.02305 v2 · 2017-04-07 · 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{NPDXOLFANDSH55J5KUXILNC5LK}

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	2026-05-18T00:02:45.797963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc7772ca068e47ef53d552e85b45d5a872af5ffd1e44b5c58dc16d9a4cef6e3

Aliases

arxiv: 1704.02305 · arxiv_version: 1704.02305v2 · doi: 10.48550/arxiv.1704.02305 · pith_short_12: NPDXOLFANDSH · pith_short_16: NPDXOLFANDSH55J5 · pith_short_8: NPDXOLFA

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/NPDXOLFANDSH55J5KUXILNC5LK \
  | 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: 6bc7772ca068e47ef53d552e85b45d5a872af5ffd1e44b5c58dc16d9a4cef6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a710481e9289979b05004799172deb92a86fa7a9efd423864259db8d554e3f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-07T17:45:22Z",
    "title_canon_sha256": "b8973d951e406ecad83076089c46573aeca84b3d42510ebac512d82348110d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02305",
    "kind": "arxiv",
    "version": 2
  }
}