Pith Number

pith:ULFPHC7P

pith:2016:ULFPHC7PJ55TAHJMGVRMCXCKK5

not attested not anchored not stored refs pending

Approximating Spanners and Directed Steiner Forest: Upper and Lower Bounds

Bundit Laekhanukit, Eden Chlamt\'a\v{c}, Guy Kortsarz, Michael Dinitz

arxiv:1607.06068 v1 · 2016-07-20 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULFPHC7PJ55TAHJMGVRMCXCKK5}

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	2026-05-18T01:10:43.349430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2caf38bef4f7b301d2c3562c15c4a577d9345bb057a45522aba7891a1473de5

Aliases

arxiv: 1607.06068 · arxiv_version: 1607.06068v1 · doi: 10.48550/arxiv.1607.06068 · pith_short_12: ULFPHC7PJ55T · pith_short_16: ULFPHC7PJ55TAHJM · pith_short_8: ULFPHC7P

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/ULFPHC7PJ55TAHJMGVRMCXCKK5 \
  | 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: a2caf38bef4f7b301d2c3562c15c4a577d9345bb057a45522aba7891a1473de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2e4a8d679003f6e5c92e58684f3fde47426ac68e343a4da877e79dd1b846a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-20T19:27:38Z",
    "title_canon_sha256": "f39f40d7fc0c2990a59ebe02929fc6cedc88f2c00ea34b9ebbdeed6a62d4b3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06068",
    "kind": "arxiv",
    "version": 1
  }
}