Pith Number

pith:2RL7IVWX

pith:2015:2RL7IVWXQGNZKSOB5N2VQ24GDS

not attested not anchored not stored refs pending

A proof of the Cycle Double Cover Conjecture

Mary Radcliffe

arxiv:1510.02075 v2 · 2015-10-07 · 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{2RL7IVWXQGNZKSOB5N2VQ24GDS}

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	2026-05-18T01:30:42.433594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d457f456d7819b9549c1eb75586b861cafdce750965dc4ef0f5b66252ce35a73

Aliases

arxiv: 1510.02075 · arxiv_version: 1510.02075v2 · doi: 10.48550/arxiv.1510.02075 · pith_short_12: 2RL7IVWXQGNZ · pith_short_16: 2RL7IVWXQGNZKSOB · pith_short_8: 2RL7IVWX

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/2RL7IVWXQGNZKSOB5N2VQ24GDS \
  | 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: d457f456d7819b9549c1eb75586b861cafdce750965dc4ef0f5b66252ce35a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210ac18055771ab214766f00b03c641c5d1374c66d7d9154529dea566b34a50e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-07T19:45:44Z",
    "title_canon_sha256": "a0f7b1e29e05f44795546f29ebbad3e3d5cc25270171b91f43c60f0b08e85b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02075",
    "kind": "arxiv",
    "version": 2
  }
}