Pith Number

pith:W35UZC7P

pith:2018:W35UZC7PB5DNCM2GRRNMVKUFOS

not attested not anchored not stored refs pending

On a theta product of Jacobi and its applications to $q$-gamma products

J\'ozsef S\'andor, Mohamed El Bachraoui

arxiv:1805.01121 v2 · 2018-05-03 · 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{W35UZC7PB5DNCM2GRRNMVKUFOS}

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	2026-05-17T23:55:29.430541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6fb4c8bef0f46d133468c5acaaa857482f9a695f008c71f4c7b8af9982fd08d

Aliases

arxiv: 1805.01121 · arxiv_version: 1805.01121v2 · doi: 10.48550/arxiv.1805.01121 · pith_short_12: W35UZC7PB5DN · pith_short_16: W35UZC7PB5DNCM2G · pith_short_8: W35UZC7P

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/W35UZC7PB5DNCM2GRRNMVKUFOS \
  | 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: b6fb4c8bef0f46d133468c5acaaa857482f9a695f008c71f4c7b8af9982fd08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74060f1c0e53cb16cf2390772742753a203a5e8c62137081a2b78fa571c7d35e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-03T05:25:51Z",
    "title_canon_sha256": "e71620f237552edcb1438df39088fd1ca99a0ddf1fbff9cc8a0db782f2838898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01121",
    "kind": "arxiv",
    "version": 2
  }
}