Pith Number

pith:R4PDANZ2

pith:2014:R4PDANZ27CMKJ7442WQIADQKLM

not attested not anchored not stored refs pending

An elementary proof of asymptotic behavior of solutions of $u"=Vu$

G. Metafune, M. Sobajima

arxiv:1405.5659 v1 · 2014-05-22 · 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{R4PDANZ27CMKJ7442WQIADQKLM}

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	2026-05-18T02:51:15.996689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1e30373af898a4ff9cd5a0800e0a5b391903eed5edfc7a7d2de0121b3cc8f7

Aliases

arxiv: 1405.5659 · arxiv_version: 1405.5659v1 · doi: 10.48550/arxiv.1405.5659 · pith_short_12: R4PDANZ27CMK · pith_short_16: R4PDANZ27CMKJ744 · pith_short_8: R4PDANZ2

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/R4PDANZ27CMKJ7442WQIADQKLM \
  | 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: 8f1e30373af898a4ff9cd5a0800e0a5b391903eed5edfc7a7d2de0121b3cc8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcce97185383aec6a6d83d1dc26c7f5fc0a07d40a0d721491947a919faaa8927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-22T08:05:19Z",
    "title_canon_sha256": "08876977201f9f99c1d770798b2ad1ed6d2894c1cb01af7799481ccb44a7b030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5659",
    "kind": "arxiv",
    "version": 1
  }
}