Pith Number

pith:EMIQOBX5

pith:2018:EMIQOBX5UTB6JEELTQE2XVOI47

not attested not anchored not stored refs pending

The Taylor coefficients of the Jacobi theta constant $\theta_3$

Dan Romik

arxiv:1807.06130 v2 · 2018-07-16 · 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{EMIQOBX5UTB6JEELTQE2XVOI47}

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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	2026-05-18T00:02:54.690815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23110706fda4c3e4908b9c09abd5c8e7e948776c26acd02eacdda323582b7d80

Aliases

arxiv: 1807.06130 · arxiv_version: 1807.06130v2 · doi: 10.48550/arxiv.1807.06130 · pith_short_12: EMIQOBX5UTB6 · pith_short_16: EMIQOBX5UTB6JEEL · pith_short_8: EMIQOBX5

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/EMIQOBX5UTB6JEELTQE2XVOI47 \
  | 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: 23110706fda4c3e4908b9c09abd5c8e7e948776c26acd02eacdda323582b7d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57110d30c56790d487f4988ae31f73bd8c4dfc2ddcb8aeb5735ba5b4a986ccd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-16T21:56:24Z",
    "title_canon_sha256": "5b0dc1fc858323414bfdb41294b9dece42bec6222637eff24b5911bd8b2d9198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06130",
    "kind": "arxiv",
    "version": 2
  }
}