Pith Number

pith:YIG2FF3H

pith:2018:YIG2FF3H2X4HRADCFB4BG5FIWB

not attested not anchored not stored refs pending

Stable and non-symmetric pitchfork bifurcations

Enrique Pujals, Michael Shub, Yun Yang

arxiv:1804.03264 v3 · 2018-04-09 · 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{YIG2FF3H2X4HRADCFB4BG5FIWB}

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	2026-05-18T00:01:19.569498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20da29767d5f878806228781374a8b06d3e39f8b1aced2077505a736c2d87f3

Aliases

arxiv: 1804.03264 · arxiv_version: 1804.03264v3 · doi: 10.48550/arxiv.1804.03264 · pith_short_12: YIG2FF3H2X4H · pith_short_16: YIG2FF3H2X4HRADC · pith_short_8: YIG2FF3H

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/YIG2FF3H2X4HRADCFB4BG5FIWB \
  | 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: c20da29767d5f878806228781374a8b06d3e39f8b1aced2077505a736c2d87f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6673f562fd8289bcf1b29e763a78eb1ce5ccc9d07eac1cc4d321db6d3717464f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-09T22:35:17Z",
    "title_canon_sha256": "f25b848dd7f584489fda4203772b51086354e61c3bc0d05da9fbd8940cb69701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03264",
    "kind": "arxiv",
    "version": 3
  }
}