Pith Number

pith:SM27DG53

pith:2020:SM27DG532E5VOCF3JVGVD72KEY

not attested not anchored not stored refs pending

A family of matrix-tree multijections

Alex McDonough

arxiv:2007.09501 v3 · 2020-07-18 · 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{SM27DG532E5VOCF3JVGVD72KEY}

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	2026-07-05T04:09:12.529425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9335f19bbbd13b5708bb4d4d51ff4a2614dcd1c0d23af6eeeebc11411117e2f8

Aliases

arxiv: 2007.09501 · arxiv_version: 2007.09501v3 · doi: 10.48550/arxiv.2007.09501 · pith_short_12: SM27DG532E5V · pith_short_16: SM27DG532E5VOCF3 · pith_short_8: SM27DG53

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/SM27DG532E5VOCF3JVGVD72KEY \
  | 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: 9335f19bbbd13b5708bb4d4d51ff4a2614dcd1c0d23af6eeeebc11411117e2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909ce3239db0dd871958c43fdbf3eab898f13b60c03a1ca2ab6980dbb694e337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-18T19:21:31Z",
    "title_canon_sha256": "f9df8ac7c28ba2939f4b1f46a72cfc8a20abbe87fe7615a63a14950c4b92faf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09501",
    "kind": "arxiv",
    "version": 3
  }
}