Pith Number

pith:TIVSDDCD

pith:2016:TIVSDDCDIGWV4MG6524FOG6OT6

not attested not anchored not stored refs pending

Modular forms of arbitrary even weight with no exceptional primes

Jeffrey Hatley

arxiv:1601.02863 v3 · 2016-01-12 · 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{TIVSDDCDIGWV4MG6524FOG6OT6}

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	2026-05-18T01:17:55.187499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2b218c4341ad5e30deeeb8571bce9f92cd9e2064acd5e0e017a0dc1f17bd2f

Aliases

arxiv: 1601.02863 · arxiv_version: 1601.02863v3 · doi: 10.48550/arxiv.1601.02863 · pith_short_12: TIVSDDCDIGWV · pith_short_16: TIVSDDCDIGWV4MG6 · pith_short_8: TIVSDDCD

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/TIVSDDCDIGWV4MG6524FOG6OT6 \
  | 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: 9a2b218c4341ad5e30deeeb8571bce9f92cd9e2064acd5e0e017a0dc1f17bd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffd9dafc7d425329c8ac058281fdc13542c322065045e32882609374a8f2bd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-12T13:54:49Z",
    "title_canon_sha256": "ecd8e6690f7f3dcb72ced117681399d5a8eafe02d1222973a9b098cdb56bb98a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02863",
    "kind": "arxiv",
    "version": 3
  }
}