Pith Number

pith:FJPKRRVG

pith:2020:FJPKRRVGLSIIZ4XMH47FULLPWZ

not attested not anchored not stored refs pending

The twinning operation on graphs does not always preserve $e$-positivity

Arthur L.B. Yang, David G.L. Wang, Ethan Y.H. Li, Grace M.X. Li

arxiv:2010.14312 v1 · 2020-10-27 · 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{FJPKRRVGLSIIZ4XMH47FULLPWZ}

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	2026-07-05T01:46:33.835835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5ea8c6a65c908cf2ec3f3e5a2d6fb6462639dc99e25d9086c6fca9c3ffa7b1

Aliases

arxiv: 2010.14312 · arxiv_version: 2010.14312v1 · doi: 10.48550/arxiv.2010.14312 · pith_short_12: FJPKRRVGLSII · pith_short_16: FJPKRRVGLSIIZ4XM · pith_short_8: FJPKRRVG

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/FJPKRRVGLSIIZ4XMH47FULLPWZ \
  | 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: 2a5ea8c6a65c908cf2ec3f3e5a2d6fb6462639dc99e25d9086c6fca9c3ffa7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e460198df8f0e16b7fc2da7e5d0687bc48e6b529220f781e95b41b75dff5a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-27T14:13:14Z",
    "title_canon_sha256": "dae2671552d85f725f2590f4d22de779dce1fbd621f3846ea282cc846a6392c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.14312",
    "kind": "arxiv",
    "version": 1
  }
}