Pith Number

pith:ETO6OLUD

pith:2016:ETO6OLUDQCR46LGUW7TROM7F45

not attested not anchored not stored refs pending

Products of Eisenstein series and Fourier expansions of modular forms at cusps

Martin Dickson, Michael Neururer

arxiv:1603.00774 v2 · 2016-03-02 · 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{ETO6OLUDQCR46LGUW7TROM7F45}

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	2026-05-18T00:22:16.505603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24dde72e8380a3cf2cd4b7e71733e5e743250f6cbe0a4a1b559c7e4087af1dbf

Aliases

arxiv: 1603.00774 · arxiv_version: 1603.00774v2 · doi: 10.48550/arxiv.1603.00774 · pith_short_12: ETO6OLUDQCR4 · pith_short_16: ETO6OLUDQCR46LGU · pith_short_8: ETO6OLUD

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/ETO6OLUDQCR46LGUW7TROM7F45 \
  | 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: 24dde72e8380a3cf2cd4b7e71733e5e743250f6cbe0a4a1b559c7e4087af1dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eeb84e198b386ac6409845734a7b4ab176f35b4da2f6b7f81a73cbe26113c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-02T16:16:12Z",
    "title_canon_sha256": "e25eb3a0c6a27d6dbb3b753acdd9a0b283ac54a3cb2feb454ce838910711de19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00774",
    "kind": "arxiv",
    "version": 2
  }
}