Pith Number

pith:YJXRMPN3

pith:2014:YJXRMPN3NTKR7YJRHBL6NIOAQ4

not attested not anchored not stored refs pending

L-extendable functions and a proximity scaling algorithm for minimum cost multiflow problem

Hiroshi Hirai

arxiv:1411.4444 v3 · 2014-11-17 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJXRMPN3NTKR7YJRHBL6NIOAQ4}

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	2026-05-18T01:22:48.719699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26f163dbb6cd51fe1313857e6a1c0873f30cbd0871cd2f24966bcbbec3ac762

Aliases

arxiv: 1411.4444 · arxiv_version: 1411.4444v3 · doi: 10.48550/arxiv.1411.4444 · pith_short_12: YJXRMPN3NTKR · pith_short_16: YJXRMPN3NTKR7YJR · pith_short_8: YJXRMPN3

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/YJXRMPN3NTKR7YJRHBL6NIOAQ4 \
  | 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: c26f163dbb6cd51fe1313857e6a1c0873f30cbd0871cd2f24966bcbbec3ac762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f676c9ef2ea93e575e7ae8aed10aa725832c8136f8a62b9c1d27f4d80fe8d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-17T11:51:54Z",
    "title_canon_sha256": "3021aa818cb7221c161ac5b8f781842ee819b3ab78bda68cf5b148c48dd7272f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4444",
    "kind": "arxiv",
    "version": 3
  }
}