Pith Number

pith:ZL2SHFCU

pith:2015:ZL2SHFCU4OBIVNYQQA4HVFOWNV

not attested not anchored not stored refs pending

On a partial theta function and its spectrum

Vladimir Petrov Kostov

arxiv:1504.05798 v1 · 2015-04-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL2SHFCU4OBIVNYQQA4HVFOWNV}

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	2026-05-17T23:46:42.336761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf5239454e3828ab71080387a95d66d630cd3349562aed3186ad2e13c2da5a8

Aliases

arxiv: 1504.05798 · arxiv_version: 1504.05798v1 · doi: 10.48550/arxiv.1504.05798 · pith_short_12: ZL2SHFCU4OBI · pith_short_16: ZL2SHFCU4OBIVNYQ · pith_short_8: ZL2SHFCU

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/ZL2SHFCU4OBIVNYQQA4HVFOWNV \
  | 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: caf5239454e3828ab71080387a95d66d630cd3349562aed3186ad2e13c2da5a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10913dfde5364b974b9818153414605a0c95e9bb8d5b9cf488f6f4c5f55a2b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-22T13:38:16Z",
    "title_canon_sha256": "19d60b3a3144b3435652e99f9c8e9ba0450ceabcfe777e6b719a064bb56022ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05798",
    "kind": "arxiv",
    "version": 1
  }
}