Pith Number

pith:6MHVHQ5V

pith:2019:6MHVHQ5VV3D76U7MUF357EZBTF

not attested not anchored not stored refs pending

Antimagic orientations of graphs with given independence number

Donglei Yang, Fangfang Zhang, Zi-Xia Song

arxiv:1909.10928 v2 · 2019-09-23 · 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{6MHVHQ5VV3D76U7MUF357EZBTF}

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	2026-07-05T00:07:53.213492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30f53c3b5aec7ff53eca177df932199681b07858ced065858d91a2c20af1ac6

Aliases

arxiv: 1909.10928 · arxiv_version: 1909.10928v2 · doi: 10.48550/arxiv.1909.10928 · pith_short_12: 6MHVHQ5VV3D7 · pith_short_16: 6MHVHQ5VV3D76U7M · pith_short_8: 6MHVHQ5V

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/6MHVHQ5VV3D76U7MUF357EZBTF \
  | 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: f30f53c3b5aec7ff53eca177df932199681b07858ced065858d91a2c20af1ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6739dc52119a99c0e517f477083e5faac28ad95aa2fe513ea6b7716ccfd8269",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-23T17:30:38Z",
    "title_canon_sha256": "4c5f36aa5d253315aba04632a8264c444d0ec1555d5aa2cc21a9607ae95f8f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10928",
    "kind": "arxiv",
    "version": 2
  }
}