Pith Number

pith:7AS542KL

pith:2018:7AS542KLNOHL25S5VX3E2JW66H

not attested not anchored not stored refs pending

On series identities of Gosper and integrals of Ramanujan theta function $\psi(q)$

Mohamed El Bachraoui

arxiv:1812.06396 v2 · 2018-12-16 · 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{7AS542KLNOHL25S5VX3E2JW66H}

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	2026-05-17T23:55:28.572880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f825de694b6b8ebd765dadf64d26def1c5ff633c7dde2b8df7650d11d4bd11a9

Aliases

arxiv: 1812.06396 · arxiv_version: 1812.06396v2 · doi: 10.48550/arxiv.1812.06396 · pith_short_12: 7AS542KLNOHL · pith_short_16: 7AS542KLNOHL25S5 · pith_short_8: 7AS542KL

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/7AS542KLNOHL25S5VX3E2JW66H \
  | 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: f825de694b6b8ebd765dadf64d26def1c5ff633c7dde2b8df7650d11d4bd11a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af7d694ae5f252b0b4bd23ac6549e0ef1337cb653914f6372447b2cfd22d387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-16T05:46:06Z",
    "title_canon_sha256": "811b384ea054c74c758ac13571f97e4052dcd38ed404581d666f3a01de52128a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06396",
    "kind": "arxiv",
    "version": 2
  }
}