Pith Number

pith:ZUMZTP3L

pith:2015:ZUMZTP3LZ5TPYAYMNVNU3WV4BZ

not attested not anchored not stored refs pending

Heat Traces and Spectral Zeta Functions for p-adic Laplacians

L. F. Chac\'on-Cort\'es, W. A. Z\'u\~niga-Galindo

arxiv:1511.02146 v1 · 2015-11-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUMZTP3LZ5TPYAYMNVNU3WV4BZ}

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	2026-05-18T01:27:37.656599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1999bf6bcf66fc030c6d5b4ddabc0e517b7ddc0d1d27a1cf678a26a3eb0f51

Aliases

arxiv: 1511.02146 · arxiv_version: 1511.02146v1 · doi: 10.48550/arxiv.1511.02146 · pith_short_12: ZUMZTP3LZ5TP · pith_short_16: ZUMZTP3LZ5TPYAYM · pith_short_8: ZUMZTP3L

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/ZUMZTP3LZ5TPYAYMNVNU3WV4BZ \
  | 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: cd1999bf6bcf66fc030c6d5b4ddabc0e517b7ddc0d1d27a1cf678a26a3eb0f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32477f6e08bd3f8d97b3abaa9793eba080e80574e885a20fc16f6c4c46169e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-06T16:39:54Z",
    "title_canon_sha256": "5311f0de5f4e6269f0378519f19563c691e3314a1a57b6509d2906a0289881b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02146",
    "kind": "arxiv",
    "version": 1
  }
}