pith. sign in
Pith Number

pith:VGT4CUZ3

pith:2013:VGT4CUZ3WHYK2PG67MS4BELS4F
not attested not anchored not stored refs pending

Tree-Independent Dual-Tree Algorithms

Alexander G. Gray, Charles L. Isbell Jr, David V. Anderson, Parikshit Ram, Ryan R. Curtin, William B. March

arxiv:1304.4327 v1 · 2013-04-16 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VGT4CUZ3WHYK2PG67MS4BELS4F}

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 2026-05-18T03:27:53.428070Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9a7c1533bb1f0ad3cdefb25c09172e16960a13bf3259039adfbd5bbb5d8a88f

Aliases

arxiv: 1304.4327 · arxiv_version: 1304.4327v1 · doi: 10.48550/arxiv.1304.4327 · pith_short_12: VGT4CUZ3WHYK · pith_short_16: VGT4CUZ3WHYK2PG6 · pith_short_8: VGT4CUZ3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VGT4CUZ3WHYK2PG67MS4BELS4F \
  | 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: a9a7c1533bb1f0ad3cdefb25c09172e16960a13bf3259039adfbd5bbb5d8a88f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6823d8031909a648729183ee496c14a4ce859535784f411ed07366d4f4fdf8e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-04-16T04:04:42Z",
    "title_canon_sha256": "80eb4bbabbbafdfb793380dd41c48bf611063a4a87b9fa630d10b8369737ecd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4327",
    "kind": "arxiv",
    "version": 1
  }
}