Pith Number

pith:7M7ZZJM6

pith:2015:7M7ZZJM6YGW2CVQJ4OM6UEZJKI

not attested not anchored not stored refs pending

Finding $k$ Simple Shortest Paths and Cycles

Udit Agarwal, Vijaya Ramachandran

arxiv:1512.02157 v2 · 2015-12-07 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7M7ZZJM6YGW2CVQJ4OM6UEZJKI}

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	2026-05-18T01:20:08.704524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3f9ca59ec1ada15609e399ea132952061991050993497f57ad28511eed338c

Aliases

arxiv: 1512.02157 · arxiv_version: 1512.02157v2 · doi: 10.48550/arxiv.1512.02157 · pith_short_12: 7M7ZZJM6YGW2 · pith_short_16: 7M7ZZJM6YGW2CVQJ · pith_short_8: 7M7ZZJM6

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/7M7ZZJM6YGW2CVQJ4OM6UEZJKI \
  | 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: fb3f9ca59ec1ada15609e399ea132952061991050993497f57ad28511eed338c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9c60488298c88b250c977db76b7140408075830df201a7da9465dfb8881b63",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-07T18:33:17Z",
    "title_canon_sha256": "af45af737fb7930c8dedd632af68d5e8f056dce3f334a614dd0cbd3a0af37875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02157",
    "kind": "arxiv",
    "version": 2
  }
}