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Pith Number

pith:PN3PA4J2

pith:2016:PN3PA4J23KBPB2DRH4UMUDEJZ4
not attested not anchored not stored refs pending

Routing under Balance

Aaron Sidford, Alina Ene, Gary Miller, Jakub Pachocki

arxiv:1603.09009 v1 · 2016-03-30 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PN3PA4J23KBPB2DRH4UMUDEJZ4}

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 2026-05-18T01:18:04.024472Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b76f0713ada82f0e8713f28ca0c89cf3b78e5fd079e4b76c45a993e1fba76a3

Aliases

arxiv: 1603.09009 · arxiv_version: 1603.09009v1 · doi: 10.48550/arxiv.1603.09009 · pith_short_12: PN3PA4J23KBP · pith_short_16: PN3PA4J23KBPB2DR · pith_short_8: PN3PA4J2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PN3PA4J23KBPB2DRH4UMUDEJZ4 \
  | 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: 7b76f0713ada82f0e8713f28ca0c89cf3b78e5fd079e4b76c45a993e1fba76a3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "874f6733d5fdfec32c1b0d24d7e6bc1331960831c40852839c9c28938ac3fdcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-03-30T01:09:47Z",
    "title_canon_sha256": "dd551d85b816658ef15b75c79c67e09f35adf56195316f826e7e9418c157b852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09009",
    "kind": "arxiv",
    "version": 1
  }
}