Pith Number

pith:I3FNQ7O5

pith:2011:I3FNQ7O5M7BRZSM2HQQTPQH6A3

not attested not anchored not stored refs pending

The Riemann-Hilbert approach to obtain critical asymptotics for Hamiltonian perturbations of hyperbolic and elliptic systems

Tom Claeys

arxiv:1111.3531 v1 · 2011-11-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3FNQ7O5M7BRZSM2HQQTPQH6A3}

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	2026-05-18T04:08:13.967026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46cad87ddd67c31cc99a3c2137c0fe06d29b072d71f1d639fcc0fcd6adea2514

Aliases

arxiv: 1111.3531 · arxiv_version: 1111.3531v1 · doi: 10.48550/arxiv.1111.3531 · pith_short_12: I3FNQ7O5M7BR · pith_short_16: I3FNQ7O5M7BRZSM2 · pith_short_8: I3FNQ7O5

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/I3FNQ7O5M7BRZSM2HQQTPQH6A3 \
  | 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: 46cad87ddd67c31cc99a3c2137c0fe06d29b072d71f1d639fcc0fcd6adea2514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2f432b0f3f8b175d5b95ec90afb2aa7642ecfef62a6dbb70717091e212471d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-15T14:10:07Z",
    "title_canon_sha256": "0b925e46b9066d78376bf3d701bdd08c039721bff474bd267ead600378c2be7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3531",
    "kind": "arxiv",
    "version": 1
  }
}