Pith Number

pith:ZYT4VVTL

pith:2010:ZYT4VVTLQANEEIK4AYUFWZN7CL

not attested not anchored not stored refs pending

Exact Solution for Optimal Navigation with Total Cost Restriction

Dong Zhou, Jiang Zhang, Yanqing Hu, Yong Li, Zengru Di

arxiv:1007.1281 v4 · 2010-07-08 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYT4VVTLQANEEIK4AYUFWZN7CL}

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	2026-05-18T04:32:01.645605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce27cad66b801a42215c06285b65bf12d702fee0c2a640938c04de493a34f33a

Aliases

arxiv: 1007.1281 · arxiv_version: 1007.1281v4 · doi: 10.48550/arxiv.1007.1281 · pith_short_12: ZYT4VVTLQANE · pith_short_16: ZYT4VVTLQANEEIK4 · pith_short_8: ZYT4VVTL

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/ZYT4VVTLQANEEIK4AYUFWZN7CL \
  | 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: ce27cad66b801a42215c06285b65bf12d702fee0c2a640938c04de493a34f33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d5198b5c7b869d652056fc2f9eca852bf13697a2f7bb201bb5df0eac3f013c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-07-08T02:35:31Z",
    "title_canon_sha256": "f8226fa248df20faf8ac0dc1080627fc3adc690fcfb3d9a37750e884cefdd199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1281",
    "kind": "arxiv",
    "version": 4
  }
}