Pith Number

pith:EI3T2OMX

pith:2013:EI3T2OMXWHPKABMIXLQI5US5SB

not attested not anchored not stored refs pending

The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise

Jeroen S.W. Lamb, Mark Callaway, Martin Rasmussen, Thai Son Doan

arxiv:1310.6166 v1 · 2013-10-23 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI3T2OMXWHPKABMIXLQI5US5SB}

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	2026-05-18T03:09:21.251110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22373d3997b1dea00588bae08ed25d9053fedb6bc5fd503022cbe7e4e8c89c38

Aliases

arxiv: 1310.6166 · arxiv_version: 1310.6166v1 · doi: 10.48550/arxiv.1310.6166 · pith_short_12: EI3T2OMXWHPK · pith_short_16: EI3T2OMXWHPKABMI · pith_short_8: EI3T2OMX

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/EI3T2OMXWHPKABMIXLQI5US5SB \
  | 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: 22373d3997b1dea00588bae08ed25d9053fedb6bc5fd503022cbe7e4e8c89c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80267be41bf4b0807064bca5a4b3693df29a5be1b872e83c685459e23508dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-23T09:51:21Z",
    "title_canon_sha256": "a53bf9fbdcd2686645ecec982edea95168dd06a196e19a3b1d8fb4d258bcec6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6166",
    "kind": "arxiv",
    "version": 1
  }
}