Pith Number

pith:M4X4UYZF

pith:2015:M4X4UYZFC3HQK3ESRCBFCR6E5S

not attested not anchored not stored refs pending

Non-Local Probes Do Not Help with Graph Problems

Juho Hirvonen, Jukka Suomela, Mika G\"o\"os, Moti Medina, Reut Levi

arxiv:1512.05411 v1 · 2015-12-16 · 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{M4X4UYZFC3HQK3ESRCBFCR6E5S}

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	2026-05-18T01:24:10.126419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672fca632516cf056c9288825147c4ec8750f84bf8c08de2a387dd370d396157

Aliases

arxiv: 1512.05411 · arxiv_version: 1512.05411v1 · doi: 10.48550/arxiv.1512.05411 · pith_short_12: M4X4UYZFC3HQ · pith_short_16: M4X4UYZFC3HQK3ES · pith_short_8: M4X4UYZF

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/M4X4UYZFC3HQK3ESRCBFCR6E5S \
  | 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: 672fca632516cf056c9288825147c4ec8750f84bf8c08de2a387dd370d396157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840cc34bdd70471333fc780277f993ca3e985b06781e9ce7605cc4c9c63068fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-16T23:31:25Z",
    "title_canon_sha256": "59e8d084d3201e0aa2e0ab021b3acc4f775f921a1ee50901b7c83a415797ea4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05411",
    "kind": "arxiv",
    "version": 1
  }
}