Pith Number

pith:RDAIALID

pith:2025:RDAIALIDOR3GIDJOV6JG7QD2OS

not attested not anchored not stored refs pending

Branching Ratios of Input Trees for Directed Multigraphs

Ian Stewart, Paolo Boldi

arxiv:2501.06812 v1 · 2025-01-12 · 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{RDAIALIDOR3GIDJOV6JG7QD2OS}

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	2026-07-05T10:00:10.409228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88c0802d037476640d2eaf926fc07a74bb16d8351a9423696b52841c7d38e384

Aliases

arxiv: 2501.06812 · arxiv_version: 2501.06812v1 · doi: 10.48550/arxiv.2501.06812 · pith_short_12: RDAIALIDOR3G · pith_short_16: RDAIALIDOR3GIDJO · pith_short_8: RDAIALID

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/RDAIALIDOR3GIDJOV6JG7QD2OS \
  | 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: 88c0802d037476640d2eaf926fc07a74bb16d8351a9423696b52841c7d38e384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21145f7b78d80c72145b0e1ddc56958f0aa2f1ac4bb984fa8abe711d0b7d4945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-12T13:35:08Z",
    "title_canon_sha256": "c610d33e74afc87734954a619cbe47ecb8c8cdb5724ef6524fd90ac31064b009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06812",
    "kind": "arxiv",
    "version": 1
  }
}