Pith Number

pith:3RD23HZE

pith:2015:3RD23HZEAIFZTRC2XQ47G2QPDL

not attested not anchored not stored refs pending

The Shortest Path Problem for the Distant Graph of the Projective Line Over the Ring of Integers

Andrzej Matra\'s, Artur Siemaszko

arxiv:1502.06238 v2 · 2015-02-22 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RD23HZEAIFZTRC2XQ47G2QPDL}

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	2026-05-18T01:25:39.434228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc47ad9f24020b99c45abc39f36a0f1ae747b8a3f12afbbfdd794da331ad13ac

Aliases

arxiv: 1502.06238 · arxiv_version: 1502.06238v2 · doi: 10.48550/arxiv.1502.06238 · pith_short_12: 3RD23HZEAIFZ · pith_short_16: 3RD23HZEAIFZTRC2 · pith_short_8: 3RD23HZE

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/3RD23HZEAIFZTRC2XQ47G2QPDL \
  | 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: dc47ad9f24020b99c45abc39f36a0f1ae747b8a3f12afbbfdd794da331ad13ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532c003126a2b4d077a8ed3b2a75fa3afc98e6818bc02af004f7b0089a611847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-22T15:39:27Z",
    "title_canon_sha256": "bb0b6e308687d782956b0853cfc91f6ae7abeeb486dbf495ebc9833e3016e688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06238",
    "kind": "arxiv",
    "version": 2
  }
}