Pith Number

pith:6SE2UMBH

pith:2006:6SE2UMBHS2V6HFCPET3VXPGUM4

not attested not anchored not stored refs pending

Complex Trajectories of a Simple Pendulum

Carl M. Bender, Daniel W. Hook, Darryl D. Holm

arxiv:math-ph/0609068 v1 · 2006-09-25 · math-ph · hep-th · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SE2UMBHS2V6HFCPET3VXPGUM4}

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	2026-05-18T04:17:54.510568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f489aa302796abe3944f24f75bbcd46701b2005ad03e1a18b4581900e4061c42

Aliases

arxiv: math-ph/0609068 · arxiv_version: math-ph/0609068v1 · doi: 10.48550/arxiv.math-ph/0609068 · pith_short_12: 6SE2UMBHS2V6 · pith_short_16: 6SE2UMBHS2V6HFCP · pith_short_8: 6SE2UMBH

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/6SE2UMBHS2V6HFCPET3VXPGUM4 \
  | 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: f489aa302796abe3944f24f75bbcd46701b2005ad03e1a18b4581900e4061c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452c67b93c701cfa72c569ea70edbb7c1c802e2c656f6902ec0e9b55f506f4ef",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-25T10:36:50Z",
    "title_canon_sha256": "64eb102695d04f45bb1935ddc038d67c39caf7a2d1c90440b196cf71a0eb217d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609068",
    "kind": "arxiv",
    "version": 1
  }
}