Pith Number

pith:73F4BCTM

pith:2019:73F4BCTMV7NU7HDNFIZH74E4GL

not attested not anchored not stored refs pending

The Norms of Graph Spanners

Eden Chlamt\'a\v{c}, Michael Dinitz, Thomas Robinson

arxiv:1903.07418 v1 · 2019-03-18 · 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{73F4BCTMV7NU7HDNFIZH74E4GL}

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	2026-05-17T23:51:01.461259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fecbc08a6cafdb4f9c6d2a327ff09c32d990e2a5a067f61053c7d107ece6d4bf

Aliases

arxiv: 1903.07418 · arxiv_version: 1903.07418v1 · doi: 10.48550/arxiv.1903.07418 · pith_short_12: 73F4BCTMV7NU · pith_short_16: 73F4BCTMV7NU7HDN · pith_short_8: 73F4BCTM

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/73F4BCTMV7NU7HDNFIZH74E4GL \
  | 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: fecbc08a6cafdb4f9c6d2a327ff09c32d990e2a5a067f61053c7d107ece6d4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fdf7cd0ba5477c7ca07ee91f89f253fff4740cc16b8fe4f773a173eac1206fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-03-18T13:13:47Z",
    "title_canon_sha256": "9476f64a980cbd0aefaa8e29cb69f6f3d0fce1f6c36d9e02135432f146142ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07418",
    "kind": "arxiv",
    "version": 1
  }
}