Pith Number

pith:NCBXYR6Z

pith:2015:NCBXYR6Z2HMGW342B5O5WS5HV2

not attested not anchored not stored refs pending

Analytic representations with Theta functions for systems on Z(d) and on S

A. Vourdas, C. Lei, P. Evangelides

arxiv:1502.05309 v1 · 2015-02-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCBXYR6Z2HMGW342B5O5WS5HV2}

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	2026-05-18T01:36:01.523477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68837c47d9d1d86b6f9a0f5ddb4ba7aeb6ba2744858937de81367dad37243db1

Aliases

arxiv: 1502.05309 · arxiv_version: 1502.05309v1 · doi: 10.48550/arxiv.1502.05309 · pith_short_12: NCBXYR6Z2HMG · pith_short_16: NCBXYR6Z2HMGW342 · pith_short_8: NCBXYR6Z

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/NCBXYR6Z2HMGW342B5O5WS5HV2 \
  | 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: 68837c47d9d1d86b6f9a0f5ddb4ba7aeb6ba2744858937de81367dad37243db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3d0f16d309fc66a7bdf7441645d95b0da597fd175e7d299fbc207647704435",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-18T17:28:06Z",
    "title_canon_sha256": "28dc800540e47c228986d19029a4fd793c0e3e213522bca82004aa9f2d775962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05309",
    "kind": "arxiv",
    "version": 1
  }
}