Pith Number

pith:7FHJRNVJ

pith:2019:7FHJRNVJC634B2YDNGFHTE6X4K

not attested not anchored not stored refs pending

On restricted colorings of $(d,s)$-edge colorable graphs

Lan Anh Pham

arxiv:1904.07728 v2 · 2019-04-15 · 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{7FHJRNVJC634B2YDNGFHTE6X4K}

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	2026-05-17T23:45:08.977091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94e98b6a917b7c0eb03698a7993d7e2aa346a51c840f5c6c66b39b47f961cc8

Aliases

arxiv: 1904.07728 · arxiv_version: 1904.07728v2 · doi: 10.48550/arxiv.1904.07728 · pith_short_12: 7FHJRNVJC634 · pith_short_16: 7FHJRNVJC634B2YD · pith_short_8: 7FHJRNVJ

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/7FHJRNVJC634B2YDNGFHTE6X4K \
  | 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: f94e98b6a917b7c0eb03698a7993d7e2aa346a51c840f5c6c66b39b47f961cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6be491c7b80f6bfa27aeaac849fab805e5b746f7f43dbe581493da2aac3d50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-15T14:22:26Z",
    "title_canon_sha256": "6025abd4b08d1dd1ed8a0171b092573a6d17321060fd9f8129d081d50e300f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07728",
    "kind": "arxiv",
    "version": 2
  }
}