Pith Number

pith:3W6QZM4V

pith:2014:3W6QZM4VQ7JRH6KJIQJ4PYGMNO

not attested not anchored not stored refs pending

Construction and Composition of Rooted Trees via Descent Functions

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1409.6157 v1 · 2014-09-22 · math.NT · 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{3W6QZM4VQ7JRH6KJIQJ4PYGMNO}

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	2026-05-18T02:42:13.713506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbd0cb39587d313f9494413c7e0cc6bb4bd6e1555a5289f83a474388ea72aa0

Aliases

arxiv: 1409.6157 · arxiv_version: 1409.6157v1 · doi: 10.48550/arxiv.1409.6157 · pith_short_12: 3W6QZM4VQ7JR · pith_short_16: 3W6QZM4VQ7JRH6KJ · pith_short_8: 3W6QZM4V

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/3W6QZM4VQ7JRH6KJIQJ4PYGMNO \
  | 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: ddbd0cb39587d313f9494413c7e0cc6bb4bd6e1555a5289f83a474388ea72aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feeac80ebed8cd12a1202d4d748477d9fe27b926495ee4ed696f7ef04e0c26be",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T12:56:35Z",
    "title_canon_sha256": "c1e741b8b21624fc5d7d115ed759117b25f82cb7a037e4391d1126cbd4b0a5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6157",
    "kind": "arxiv",
    "version": 1
  }
}