Pith Number

pith:AICNZ4RH

pith:2008:AICNZ4RHSXFYQD23MTRF7DY5MU

not attested not anchored not stored refs pending

Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions

Benjamin Texier, Kevin Zumbrun

arxiv:0812.3582 v3 · 2008-12-18 · 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{AICNZ4RHSXFYQD23MTRF7DY5MU}

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	2026-05-18T02:24:56.669691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0204dcf22795cb880f5b64e25f8f1d65009818e863b9e7fe445f4cc9cbebe442

Aliases

arxiv: 0812.3582 · arxiv_version: 0812.3582v3 · doi: 10.48550/arxiv.0812.3582 · pith_short_12: AICNZ4RHSXFY · pith_short_16: AICNZ4RHSXFYQD23 · pith_short_8: AICNZ4RH

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/AICNZ4RHSXFYQD23MTRF7DY5MU \
  | 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: 0204dcf22795cb880f5b64e25f8f1d65009818e863b9e7fe445f4cc9cbebe442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b88d2a58112c14059248c02781366cbcc98ad55940d37fe7c28d32a8d366d83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-18T16:37:37Z",
    "title_canon_sha256": "bd6022cdf87eed29b10a792336050e1fcd81fcdad1521371656dd610b237d00c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3582",
    "kind": "arxiv",
    "version": 3
  }
}