Pith Number

pith:3CDTCR2R

pith:2014:3CDTCR2R7IASUVMSXLQT3PFAHZ

not attested not anchored not stored refs pending

On the equivalence of two fundamental theta identities

Tom H. Koornwinder

arxiv:1401.5368 v3 · 2014-01-21 · math.CA · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CDTCR2R7IASUVMSXLQT3PFAHZ}

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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	2026-05-18T02:39:25.553748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d887314751fa012a5592bae13dbca03e432046fcc5304840518d63e1e8ea458e

Aliases

arxiv: 1401.5368 · arxiv_version: 1401.5368v3 · doi: 10.48550/arxiv.1401.5368 · pith_short_12: 3CDTCR2R7IAS · pith_short_16: 3CDTCR2R7IASUVMS · pith_short_8: 3CDTCR2R

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/3CDTCR2R7IASUVMSXLQT3PFAHZ \
  | 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: d887314751fa012a5592bae13dbca03e432046fcc5304840518d63e1e8ea458e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20da70129a57bcd58976e3fd159cd3a4834cf05c8edac81d4d1cec16ebeba43a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-21T16:20:34Z",
    "title_canon_sha256": "03cbe1bec9da52096f5acc0596466275a2edee986e42d8551aa5a0c2f5cb0212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5368",
    "kind": "arxiv",
    "version": 3
  }
}