pith. sign in
Pith Number

pith:E3BBVSZX

pith:2016:E3BBVSZXQFXQTM36D3557VDDQH
not attested not anchored not stored refs pending

Optimal Distance Labeling Schemes for Trees

Ofer Freedman, Oren Weimann, Patrick K. Nicholson, Pawe{\l} Gawrychowski

arxiv:1608.00212 v2 · 2016-07-31 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E3BBVSZXQFXQTM36D3557VDDQH}

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 2026-05-18T00:44:33.755337Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

26c21acb37816f09b37e1efbdfd46381cd2ed329650bc552d21641eac590653f

Aliases

arxiv: 1608.00212 · arxiv_version: 1608.00212v2 · doi: 10.48550/arxiv.1608.00212 · pith_short_12: E3BBVSZXQFXQ · pith_short_16: E3BBVSZXQFXQTM36 · pith_short_8: E3BBVSZX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E3BBVSZXQFXQTM36D3557VDDQH \
  | 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: 26c21acb37816f09b37e1efbdfd46381cd2ed329650bc552d21641eac590653f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a93853223947f555e2e41b9624544e45cb6abaaedc7ebd5049b928193c8dbbc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-31T12:30:27Z",
    "title_canon_sha256": "e628437eed8f842905366988e84edfa15b7193c5ff356db4b000e4dd1bbbf80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00212",
    "kind": "arxiv",
    "version": 2
  }
}