Pith Number

pith:UBYIR5R4

pith:2026:UBYIR5R4WK6BYNQXJ64UHOWV4Y

not attested not anchored not stored refs pending

Almost Optimal Multiple Source Shortest Paths and Reachability

Barna Saha, Christopher Ye, Yinzhan Xu

arxiv:2606.26554 v1 · 2026-06-25 · 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{UBYIR5R4WK6BYNQXJ64UHOWV4Y}

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	2026-06-26T01:15:34.466507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07088f63cb2bc1c36174fb943bad5e610aaefb89c79dfdef60543fd6d00b109

Aliases

arxiv: 2606.26554 · arxiv_version: 2606.26554v1 · doi: 10.48550/arxiv.2606.26554 · pith_short_12: UBYIR5R4WK6B · pith_short_16: UBYIR5R4WK6BYNQX · pith_short_8: UBYIR5R4

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/UBYIR5R4WK6BYNQXJ64UHOWV4Y \
  | 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: a07088f63cb2bc1c36174fb943bad5e610aaefb89c79dfdef60543fd6d00b109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881097e59a1128fb3d22295c2fa35bda3df7a2b3514ebf0284f6abe08eca3fbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-25T03:02:46Z",
    "title_canon_sha256": "5825b186568122781e202b07b76337b1efcde73268fb8d176826c7fbbb6dd474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26554",
    "kind": "arxiv",
    "version": 1
  }
}