Pith Number

pith:7SZDQOKF

pith:2015:7SZDQOKFQUB5VQYGTHTKUV2PVN

not attested not anchored not stored refs pending

Resonant Equilibrium configurations in quasi-periodic media: perturbative expansions

Lei Zhang, Rafael de la Llave, Xifeng SU

arxiv:1503.03304 v2 · 2015-03-11 · math.DS · 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{7SZDQOKFQUB5VQYGTHTKUV2PVN}

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	2026-05-18T01:18:47.579170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb23839458503dac30699e6aa574fab66c1c8f5b13787914bccc5fc4d1eb407

Aliases

arxiv: 1503.03304 · arxiv_version: 1503.03304v2 · doi: 10.48550/arxiv.1503.03304 · pith_short_12: 7SZDQOKFQUB5 · pith_short_16: 7SZDQOKFQUB5VQYG · pith_short_8: 7SZDQOKF

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/7SZDQOKFQUB5VQYGTHTKUV2PVN \
  | 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: fcb23839458503dac30699e6aa574fab66c1c8f5b13787914bccc5fc4d1eb407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d3ce741c92043b0f8db3b3437ef2080b6616a7b18730efb803060bd49ea566",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-11T12:41:09Z",
    "title_canon_sha256": "81a16614a245db29471cdef5681fd5058c0838377e6ed378f9cdf67b764dfc66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03304",
    "kind": "arxiv",
    "version": 2
  }
}