Pith Number

pith:Q65HQ6JA

pith:2011:Q65HQ6JAS3EWXKB3WG6JIVSP5B

not attested not anchored not stored refs pending

The Erpenbeck high frequency instability theorem for ZND detonations

Kevin Zumbrun, Mark Williams, Olivier Lafitte

arxiv:1102.0581 v1 · 2011-02-02 · 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{Q65HQ6JAS3EWXKB3WG6JIVSP5B}

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	2026-05-18T02:03:17.316953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ba78792096c96ba83bb1bc94564fe85d8f11955f716d9d9cad92d52e4e3e84

Aliases

arxiv: 1102.0581 · arxiv_version: 1102.0581v1 · doi: 10.48550/arxiv.1102.0581 · pith_short_12: Q65HQ6JAS3EW · pith_short_16: Q65HQ6JAS3EWXKB3 · pith_short_8: Q65HQ6JA

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/Q65HQ6JAS3EWXKB3WG6JIVSP5B \
  | 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: 87ba78792096c96ba83bb1bc94564fe85d8f11955f716d9d9cad92d52e4e3e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9d91795c893e33b7c3de52205845ac4f54123efffc6320d39ee182f3f8867e6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-02T22:56:02Z",
    "title_canon_sha256": "e7292852dc3571f6d0b4580f991220c4a8c68a9a2b4e6a05dca5d908b43bf4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0581",
    "kind": "arxiv",
    "version": 1
  }
}