Pith Number

pith:HABCQY33

pith:2017:HABCQY33QJ4HYN4JW3DOPY6EHZ

not attested not anchored not stored refs pending

Critical points of the classical Eisenstein series of weight two

Chang-shou Lin, Zhijie Chen

arxiv:1707.04804 v1 · 2017-07-16 · 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{HABCQY33QJ4HYN4JW3DOPY6EHZ}

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	2026-05-18T00:40:12.205719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380228637b82787c3789b6c6e7e3c43e4573bfaaf50793a598b9ffa52ef0ab38

Aliases

arxiv: 1707.04804 · arxiv_version: 1707.04804v1 · doi: 10.48550/arxiv.1707.04804 · pith_short_12: HABCQY33QJ4H · pith_short_16: HABCQY33QJ4HYN4J · pith_short_8: HABCQY33

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/HABCQY33QJ4HYN4JW3DOPY6EHZ \
  | 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: 380228637b82787c3789b6c6e7e3c43e4573bfaaf50793a598b9ffa52ef0ab38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4125b3b89f07d84e7b85af5d6bfed66050e877417ce4e4fddc7dd6b279f5c881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-16T01:32:17Z",
    "title_canon_sha256": "2d8094d4a69b833214ceaa3c615c727343a6c5569aa22b4c4456db8a1fe8428b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04804",
    "kind": "arxiv",
    "version": 1
  }
}