Pith Number

pith:ZHYU6BV2

pith:2015:ZHYU6BV2RXADDKL7UHHKUWDJOW

not attested not anchored not stored refs pending

Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem

Marta Kowalczyk

arxiv:1501.07449 v1 · 2015-01-29 · math.CA · 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{ZHYU6BV2RXADDKL7UHHKUWDJOW}

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	2026-05-18T02:25:18.169033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f14f06ba8dc031a97fa1ceaa586975b33e76ff352a640c17b54795f13e0180

Aliases

arxiv: 1501.07449 · arxiv_version: 1501.07449v1 · doi: 10.48550/arxiv.1501.07449 · pith_short_12: ZHYU6BV2RXAD · pith_short_16: ZHYU6BV2RXADDKL7 · pith_short_8: ZHYU6BV2

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/ZHYU6BV2RXADDKL7UHHKUWDJOW \
  | 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: c9f14f06ba8dc031a97fa1ceaa586975b33e76ff352a640c17b54795f13e0180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0938b57ced70ea88bfdc679e7ae526d878882e142b9c372f3006c135135ab2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-29T13:27:13Z",
    "title_canon_sha256": "cd35b2503fa882dc514ac1583ec3d2612802e0b1c9d59a81d53735b26bd3fc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07449",
    "kind": "arxiv",
    "version": 1
  }
}