pith. sign in
Pith Number

pith:E6TAETF3

pith:2015:E6TAETF3PKJ6KUOTDF5RJMAVAB
not attested not anchored not stored refs pending

A Degenerate Edge Bifurcation in the 1D Linearized Nonlinear Schrodinger Equation

Matt Coles, Stephen Gustafson

arxiv:1507.04098 v1 · 2015-07-15 · 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{E6TAETF3PKJ6KUOTDF5RJMAVAB}

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 2026-05-18T01:36:49.142228Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27a6024cbb7a93e551d3197b14b0150066e52d758f275e2d854019e5f53c6c20

Aliases

arxiv: 1507.04098 · arxiv_version: 1507.04098v1 · doi: 10.48550/arxiv.1507.04098 · pith_short_12: E6TAETF3PKJ6 · pith_short_16: E6TAETF3PKJ6KUOT · pith_short_8: E6TAETF3
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/E6TAETF3PKJ6KUOTDF5RJMAVAB \
  | 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: 27a6024cbb7a93e551d3197b14b0150066e52d758f275e2d854019e5f53c6c20
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "284cacd3d9ea082361380540221f3c5a451be53e675aaecb639f397ab1ee0def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-15T06:31:22Z",
    "title_canon_sha256": "a058913fcab9ff822c621fc7b3fc7a7f9d15ca88d18844ec27bde7ebd5f556f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04098",
    "kind": "arxiv",
    "version": 1
  }
}