Pith Number

pith:3BWMP4GE

pith:2016:3BWMP4GE2XE3T64TH5YD5XVOUH

not attested not anchored not stored refs pending

Fully Dynamic Spanners with Worst-Case Update Time

Greg Bodwin, Sebastian Krinninger

arxiv:1606.07864 v1 · 2016-06-25 · 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{3BWMP4GE2XE3T64TH5YD5XVOUH}

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	2026-05-18T00:22:16.449186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86cc7f0c4d5c9b9fb933f703edeaea1ec9cee9056a40b49ea943503217e30d3

Aliases

arxiv: 1606.07864 · arxiv_version: 1606.07864v1 · doi: 10.48550/arxiv.1606.07864 · pith_short_12: 3BWMP4GE2XE3 · pith_short_16: 3BWMP4GE2XE3T64T · pith_short_8: 3BWMP4GE

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/3BWMP4GE2XE3T64TH5YD5XVOUH \
  | 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: d86cc7f0c4d5c9b9fb933f703edeaea1ec9cee9056a40b49ea943503217e30d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9f64ec294ba5ad5803efc922eb40e68b4b3cbb12030c95399892084951db0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-06-25T01:40:09Z",
    "title_canon_sha256": "260adb678b33b636abc883bc31aee9c077d77dbcdd3bfa19724d706484d46d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07864",
    "kind": "arxiv",
    "version": 1
  }
}