Pith Number

pith:PMIGAPOU

pith:2010:PMIGAPOUPZO3K7JM4BZVZOATAW

not attested not anchored not stored refs pending

On the rainbow vertex-connection

Xueliang Li, Yongtang Shi

arxiv:1012.3504 v1 · 2010-12-16 · 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{PMIGAPOUPZO3K7JM4BZVZOATAW}

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	2026-05-18T04:33:06.549825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b10603dd47e5db57d2ce0735cb81305880b2bd3983096ee6f6d1dc257195373

Aliases

arxiv: 1012.3504 · arxiv_version: 1012.3504v1 · doi: 10.48550/arxiv.1012.3504 · pith_short_12: PMIGAPOUPZO3 · pith_short_16: PMIGAPOUPZO3K7JM · pith_short_8: PMIGAPOU

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/PMIGAPOUPZO3K7JM4BZVZOATAW \
  | 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: 7b10603dd47e5db57d2ce0735cb81305880b2bd3983096ee6f6d1dc257195373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f99d6d0fe85012080a96c39f39491a7199ca79beb0bd975cea1515d6e1047c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-16T03:03:59Z",
    "title_canon_sha256": "b07ff3793d874aa3da9275c8a1144b0a80a86bbe5b68c2298fa0376cd3ed834b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3504",
    "kind": "arxiv",
    "version": 1
  }
}