Pith Number

pith:77P2PY3C

pith:2017:77P2PY3CF7UEOOTCJEMC5IZCQ7

not attested not anchored not stored refs pending

A separation in modulus property of the zeros of a partial theta function

Vladimir Petrov Kostov

arxiv:1704.01901 v1 · 2017-04-06 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77P2PY3CF7UEOOTCJEMC5IZCQ7}

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	2026-05-17T23:46:42.137249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdfa7e3622fe8473a6249182ea32287f3f1dd266b04c8cd8089508da4499a20

Aliases

arxiv: 1704.01901 · arxiv_version: 1704.01901v1 · doi: 10.48550/arxiv.1704.01901 · pith_short_12: 77P2PY3CF7UE · pith_short_16: 77P2PY3CF7UEOOTC · pith_short_8: 77P2PY3C

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/77P2PY3CF7UEOOTCJEMC5IZCQ7 \
  | 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: ffdfa7e3622fe8473a6249182ea32287f3f1dd266b04c8cd8089508da4499a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d2ada4fafaf25ae6c8d54f98b01d59a8d08328dd19541a5585883420c87f78",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-06T15:58:42Z",
    "title_canon_sha256": "6de6171189f03722a9f92fe7db793dfbe7f327e918a295bf02a407184bc09dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01901",
    "kind": "arxiv",
    "version": 1
  }
}