Pith Number

pith:GC2V2VTI

pith:2015:GC2V2VTIF4ZQQ5JKSMIEP3UC26

not attested not anchored not stored refs pending

The onset of instability in first-order systems

Benjamin Texier, Nicolas Lerner, Toan T. Nguyen

arxiv:1504.04477 v2 · 2015-04-17 · 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{GC2V2VTIF4ZQQ5JKSMIEP3UC26}

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	2026-05-18T01:17:52.967780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b55d56682f3308752a931047ee82d785374dfa7c7d4f0a6f64d9dadb9d87fa

Aliases

arxiv: 1504.04477 · arxiv_version: 1504.04477v2 · doi: 10.48550/arxiv.1504.04477 · pith_short_12: GC2V2VTIF4ZQ · pith_short_16: GC2V2VTIF4ZQQ5JK · pith_short_8: GC2V2VTI

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/GC2V2VTIF4ZQQ5JKSMIEP3UC26 \
  | 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: 30b55d56682f3308752a931047ee82d785374dfa7c7d4f0a6f64d9dadb9d87fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee4edfa4e48d36b04d4ad4c509be374a29b9d81e81077248640e7f37ac43ee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-17T10:40:18Z",
    "title_canon_sha256": "7eb4aeabc0f5d20c9c3c6380cb48d9518e85ad9bc99c3006c44dd74216dfefaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04477",
    "kind": "arxiv",
    "version": 2
  }
}