Pith Number

pith:QS7YF2U6

pith:2016:QS7YF2U6X6WUT5BFRAZRXEAQO2

not attested not anchored not stored refs pending

Fast Algorithms for Diameter-Optimally Augmenting Paths and Trees

Christian Knauer, Fabian Stehn, Joachim Gudmundsson, Michiel Smid, Ulrike Gro{\ss}e

arxiv:1607.05547 v1 · 2016-07-19 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS7YF2U6X6WUT5BFRAZRXEAQO2}

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	2026-05-18T01:10:46.581746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84bf82ea9ebfad49f42588331b9010768703b772e516455a009bb7c0031e4d22

Aliases

arxiv: 1607.05547 · arxiv_version: 1607.05547v1 · doi: 10.48550/arxiv.1607.05547 · pith_short_12: QS7YF2U6X6WU · pith_short_16: QS7YF2U6X6WUT5BF · pith_short_8: QS7YF2U6

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/QS7YF2U6X6WUT5BFRAZRXEAQO2 \
  | 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: 84bf82ea9ebfad49f42588331b9010768703b772e516455a009bb7c0031e4d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054045fb479e70d61e87418c0fb2a52f32d15e89d20b2c5e57d2cd4e2734a1fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-07-19T12:36:49Z",
    "title_canon_sha256": "6ee9b8862892dcfaee821245db901ed798726343680fea26cdb231ce59b40720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05547",
    "kind": "arxiv",
    "version": 1
  }
}