Pith Number

pith:WTCH3PKD

pith:2008:WTCH3PKDTVOCSOF6RW2LZ3WGYX

not attested not anchored not stored refs pending

Bifurcation of critical periods from Pleshkan's isochrones

Jordi Villadelprat, Maite Grau

arxiv:0811.2317 v1 · 2008-11-14 · 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{WTCH3PKDTVOCSOF6RW2LZ3WGYX}

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	2026-05-18T02:58:10.937816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c47dbd439d5c2938be8db4bceec6c5c9e949a2cb334b9fdf3cf647450a4cd0

Aliases

arxiv: 0811.2317 · arxiv_version: 0811.2317v1 · doi: 10.48550/arxiv.0811.2317 · pith_short_12: WTCH3PKDTVOC · pith_short_16: WTCH3PKDTVOCSOF6 · pith_short_8: WTCH3PKD

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/WTCH3PKDTVOCSOF6RW2LZ3WGYX \
  | 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: b4c47dbd439d5c2938be8db4bceec6c5c9e949a2cb334b9fdf3cf647450a4cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1784b2eb639701a357b50823ec6c1ce6d62d42f6d15d3fedaec84202d7d0e754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-14T11:17:56Z",
    "title_canon_sha256": "e1e554379e625c3a4ecaf9312b9f1e2da3054e225a08ab0aaf5df408497bb0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2317",
    "kind": "arxiv",
    "version": 1
  }
}