Pith Number

pith:JCSRLFOE

pith:2015:JCSRLFOE6FW33EYWL73PRPX35T

not attested not anchored not stored refs pending

Ruelle and Selberg zeta functions for non-unitary twists

Polyxeni Spilioti

arxiv:1506.04672 v4 · 2015-06-15 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCSRLFOE6FW33EYWL73PRPX35T}

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	2026-05-18T01:32:07.911088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a51595c4f16dbd93165ff6f8befbecd498281d1f60af3a28785c9f271e7b9d

Aliases

arxiv: 1506.04672 · arxiv_version: 1506.04672v4 · doi: 10.48550/arxiv.1506.04672 · pith_short_12: JCSRLFOE6FW3 · pith_short_16: JCSRLFOE6FW33EYW · pith_short_8: JCSRLFOE

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/JCSRLFOE6FW33EYWL73PRPX35T \
  | 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: 48a51595c4f16dbd93165ff6f8befbecd498281d1f60af3a28785c9f271e7b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79364784f9698049637cfda1c9ed957cb72ff8e14bb6ec0cda6815c88708303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-06-15T17:06:01Z",
    "title_canon_sha256": "85349a03b6c0a89506a6afb38f9b63b560b63c659feebe5a93c01b14cbca5ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04672",
    "kind": "arxiv",
    "version": 4
  }
}