Pith Number

pith:ETQM6PW4

pith:2016:ETQM6PW4P4OGGKID5RROWMHDWR

not attested not anchored not stored refs pending

On the permanental nullity and matching number of graphs

Hong-Jian Lai, Tingzeng Wu

arxiv:1603.03109 v1 · 2016-03-10 · 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{ETQM6PW4P4OGGKID5RROWMHDWR}

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	2026-05-18T01:19:19.012631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e0cf3edc7f1c632903ec62eb30e3b4705d327b40e4fcb4b1223b4ecfc9e790

Aliases

arxiv: 1603.03109 · arxiv_version: 1603.03109v1 · doi: 10.48550/arxiv.1603.03109 · pith_short_12: ETQM6PW4P4OG · pith_short_16: ETQM6PW4P4OGGKID · pith_short_8: ETQM6PW4

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/ETQM6PW4P4OGGKID5RROWMHDWR \
  | 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: 24e0cf3edc7f1c632903ec62eb30e3b4705d327b40e4fcb4b1223b4ecfc9e790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15161f987263e09c5368cf66ab7082af457a179d9eec109213485d270d7832ab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-10T00:17:46Z",
    "title_canon_sha256": "c6713432bd8961931d1aa062d3a918e009ebe7b6565b1053be6273de6694b3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03109",
    "kind": "arxiv",
    "version": 1
  }
}