Pith Number

pith:U6DICJ6Y

pith:2026:U6DICJ6Y6DCT4PU5IRCMRI6OGO

not attested not anchored not stored refs pending

$\tilde{O}$ptimal Algorithm for 2-Approximate All Pair Shortest Paths -- almost

Manoj Gupta, Mrigankashekhar Shandilya

arxiv:2607.18714 v1 · 2026-07-21 · 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{U6DICJ6Y6DCT4PU5IRCMRI6OGO}

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	2026-07-22T01:23:07.953909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7868127d8f0c53e3e9d4444c8a3ce33af36594f069eb7bceb6db347527c2aba

Aliases

arxiv: 2607.18714 · arxiv_version: 2607.18714v1 · doi: 10.48550/arxiv.2607.18714 · pith_short_12: U6DICJ6Y6DCT · pith_short_16: U6DICJ6Y6DCT4PU5 · pith_short_8: U6DICJ6Y

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/U6DICJ6Y6DCT4PU5IRCMRI6OGO \
  | 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: a7868127d8f0c53e3e9d4444c8a3ce33af36594f069eb7bceb6db347527c2aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ace76bec5a83e09056cad580ee0c540c125d1e86b214525e3eb3297952f9ba1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-21T05:11:13Z",
    "title_canon_sha256": "5d09fb0040309f6c0d8ff6d31cdcd5cf3544f79560065e05ea5fbce8bdd9f8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18714",
    "kind": "arxiv",
    "version": 1
  }
}