Pith Number

pith:FE5GUJ76

pith:2011:FE5GUJ766FPES3B6JP4UYLVH57

not attested not anchored not stored refs pending

Bifurcation currents and equidistribution on parameter space

Romain Dujardin

arxiv:1111.3989 v2 · 2011-11-16 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FE5GUJ766FPES3B6JP4UYLVH57}

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	2026-05-18T04:02:54.177535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293a6a27fef15e496c3e4bf94c2ea7efff3ef0fe409df5b91aea09e6aeb6db81

Aliases

arxiv: 1111.3989 · arxiv_version: 1111.3989v2 · doi: 10.48550/arxiv.1111.3989 · pith_short_12: FE5GUJ766FPE · pith_short_16: FE5GUJ766FPES3B6 · pith_short_8: FE5GUJ76

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/FE5GUJ766FPES3B6JP4UYLVH57 \
  | 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: 293a6a27fef15e496c3e4bf94c2ea7efff3ef0fe409df5b91aea09e6aeb6db81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3474a2e17a2016e1f5cdb07d8d9f5c76a0b918eee629faaa2e3c7ac276e9c60",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-16T22:41:45Z",
    "title_canon_sha256": "78b1eb988f8eed2c1ff7efcfca5244627d9d2166bd590925b3219f4e148f587f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3989",
    "kind": "arxiv",
    "version": 2
  }
}