Pith Number

pith:K4ZYQPKX

pith:2016:K4ZYQPKX7R5KXJJCZO5FOALPPH

not attested not anchored not stored refs pending

The Pitchfork Bifurcation

Indika Rajapakse, Steve Smale

arxiv:1609.05996 v1 · 2016-09-20 · 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{K4ZYQPKX7R5KXJJCZO5FOALPPH}

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	2026-05-18T00:33:22.935232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5733883d57fc7aaba522cbba57016f79c30a9db8f6342449a9f183518a5548ee

Aliases

arxiv: 1609.05996 · arxiv_version: 1609.05996v1 · doi: 10.48550/arxiv.1609.05996 · pith_short_12: K4ZYQPKX7R5K · pith_short_16: K4ZYQPKX7R5KXJJC · pith_short_8: K4ZYQPKX

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/K4ZYQPKX7R5KXJJCZO5FOALPPH \
  | 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: 5733883d57fc7aaba522cbba57016f79c30a9db8f6342449a9f183518a5548ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8589eedbe4fb4de253a5ba55700a1a528604375c68d10a443973c9df159b7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-20T02:16:58Z",
    "title_canon_sha256": "6e0701cce6e3f245ef7452c11abf8dfc8cc8e06570339cf1ed45b199b71ea5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05996",
    "kind": "arxiv",
    "version": 1
  }
}