Pith Number

pith:HOAP7SG5

pith:2016:HOAP7SG5MKIRTV3EZ7QLOGAPDD

not attested not anchored not stored refs pending

Asymptotic behavior of the curves in the Fu{\v{c}}{\'{\i}}k spectrum

Ariel Martin Salort, Juan Pablo Pinasco

arxiv:1609.08193 v1 · 2016-09-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOAP7SG5MKIRTV3EZ7QLOGAPDD}

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	2026-05-18T01:03:46.455387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b80ffc8dd629119d764cfe0b7180f18fe1d7d3b9bdb0e5cdf32600c133e319f

Aliases

arxiv: 1609.08193 · arxiv_version: 1609.08193v1 · doi: 10.48550/arxiv.1609.08193 · pith_short_12: HOAP7SG5MKIR · pith_short_16: HOAP7SG5MKIRTV3E · pith_short_8: HOAP7SG5

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/HOAP7SG5MKIRTV3EZ7QLOGAPDD \
  | 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: 3b80ffc8dd629119d764cfe0b7180f18fe1d7d3b9bdb0e5cdf32600c133e319f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1aeebb0a25b930f0cca6abdd182362c40ca441c07a5719e53430ccfde433bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-26T21:11:24Z",
    "title_canon_sha256": "3ad9b3bd45ba0bad6062410092e6e5aa1ea5bdf49c0d50ed4df3228c1aab71b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08193",
    "kind": "arxiv",
    "version": 1
  }
}