Pith Number

pith:GMJNJROF

pith:2017:GMJNJROFUY65MY5PVO7GFCGK3M

not attested not anchored not stored refs pending

Harmonic Eisenstein Series of Weight One

Yingkun Li

arxiv:1701.08940 v1 · 2017-01-31 · 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{GMJNJROFUY65MY5PVO7GFCGK3M}

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	2026-05-18T00:51:38.845384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3312d4c5c5a63dd663afabbe6288cadb1a0972a1c91893db63cedf41f442033f

Aliases

arxiv: 1701.08940 · arxiv_version: 1701.08940v1 · doi: 10.48550/arxiv.1701.08940 · pith_short_12: GMJNJROFUY65 · pith_short_16: GMJNJROFUY65MY5P · pith_short_8: GMJNJROF

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/GMJNJROFUY65MY5PVO7GFCGK3M \
  | 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: 3312d4c5c5a63dd663afabbe6288cadb1a0972a1c91893db63cedf41f442033f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6041ee3fe639f92b408bacd70ce86f0637894c20b41628ad1ac6ff2cb52c97de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-31T08:15:01Z",
    "title_canon_sha256": "840c75c438c68aa9d9a542ce478d607c083853eeb841a8a037bc7a00b2c7a3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08940",
    "kind": "arxiv",
    "version": 1
  }
}