Pith Number

pith:AFZRCG3B

pith:2015:AFZRCG3BRBETZAZKYBO2XH42JQ

not attested not anchored not stored refs pending

Periodic-parabolic eigenvalue problems with a large parameter and degeneration

Christopher Thornett, Daniel Daners

arxiv:1512.00485 v1 · 2015-12-01 · 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{AFZRCG3BRBETZAZKYBO2XH42JQ}

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	2026-05-18T01:16:29.424231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0173111b6188493c832ac05dab9f9a4c0f8bdb9f6619bfab7a1951bbcfbfbb3d

Aliases

arxiv: 1512.00485 · arxiv_version: 1512.00485v1 · doi: 10.48550/arxiv.1512.00485 · pith_short_12: AFZRCG3BRBET · pith_short_16: AFZRCG3BRBETZAZK · pith_short_8: AFZRCG3B

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/AFZRCG3BRBETZAZKYBO2XH42JQ \
  | 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: 0173111b6188493c832ac05dab9f9a4c0f8bdb9f6619bfab7a1951bbcfbfbb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4f5238574d29fc9fec148284ea59fff5198666c1b801404b09ae8fe8e50cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-01T21:18:18Z",
    "title_canon_sha256": "38a8b804e3155a3baa661fce61661a051085c9eb201a0dfae784df9c70692ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00485",
    "kind": "arxiv",
    "version": 1
  }
}