Pith Number

pith:K5M6BJYV

pith:2018:K5M6BJYV3VCKU6ILLJGODCXS3A

not attested not anchored not stored refs pending

Double phase problems with variable growth

Du\v{s}an D. Repov\v{s}, Matija Cencelj, Vicen\c{t}iu D. R\u{a}dulescu

arxiv:1810.07995 v1 · 2018-10-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5M6BJYV3VCKU6ILLJGODCXS3A}

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	2026-05-18T00:02:52.866244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5759e0a715dd44aa790b5a4ce18af2d82863cdbbd86bb2ff4eddba5dc25842dc

Aliases

arxiv: 1810.07995 · arxiv_version: 1810.07995v1 · doi: 10.48550/arxiv.1810.07995 · pith_short_12: K5M6BJYV3VCK · pith_short_16: K5M6BJYV3VCKU6IL · pith_short_8: K5M6BJYV

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/K5M6BJYV3VCKU6ILLJGODCXS3A \
  | 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: 5759e0a715dd44aa790b5a4ce18af2d82863cdbbd86bb2ff4eddba5dc25842dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a315329dd0658402021d10beb5f59d30853c57de0786b92506e736e286f2387c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-18T11:36:07Z",
    "title_canon_sha256": "0f625302184ea2e72e581a69d7b0d70de688c2c0ec830a7a98cb9c60d5807974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07995",
    "kind": "arxiv",
    "version": 1
  }
}