Pith Number

pith:3K6ZXWIX

pith:2025:3K6ZXWIX52GR2RSXJ3C5CJCGRS

not attested not anchored not stored refs pending

Mass-Optimal Low-Thrust Forced Periodic Trajectories in the Earth-Moon CR3BP

Colby C. Merrill, Dmitry Savransky, Jackson Kulik, Matthew J. Bryan

arxiv:2502.05140 v1 · 2025-02-07 · 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{3K6ZXWIX52GR2RSXJ3C5CJCGRS}

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	2026-07-05T10:11:09.966209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabd9bd917ee8d1d46574ec5d124468cb50b6129e2165c29c8b49fbd0f99b85c

Aliases

arxiv: 2502.05140 · arxiv_version: 2502.05140v1 · doi: 10.48550/arxiv.2502.05140 · pith_short_12: 3K6ZXWIX52GR · pith_short_16: 3K6ZXWIX52GR2RSX · pith_short_8: 3K6ZXWIX

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/3K6ZXWIX52GR2RSXJ3C5CJCGRS \
  | 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: dabd9bd917ee8d1d46574ec5d124468cb50b6129e2165c29c8b49fbd0f99b85c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f78e1de37bc7623cfe9cdd884273b787b80d65186e9040be59c924155f112b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-07T18:16:00Z",
    "title_canon_sha256": "968afe92b1ee31b18ada9401aa696198b191b1200664da4aeb3a22f532a34b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05140",
    "kind": "arxiv",
    "version": 1
  }
}