Pith Number

pith:U4VRNEWP

pith:2015:U4VRNEWPYBHGK36EG7OR4OI3R3

not attested not anchored not stored refs pending

Non-ambiguous trees: new results and generalisation

Adrien Boussicault, Berenice Delcroix-Oger, Florent Hivert, Jean-Christophe Aval, Patxi Laborde-Zubieta

arxiv:1511.09455 v1 · 2015-11-30 · 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{U4VRNEWPYBHGK36EG7OR4OI3R3}

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	2026-05-18T01:25:40.216342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72b1692cfc04e656fc437dd1e391b8ee2fc69a4d4ef596470070117ab3d432e

Aliases

arxiv: 1511.09455 · arxiv_version: 1511.09455v1 · doi: 10.48550/arxiv.1511.09455 · pith_short_12: U4VRNEWPYBHG · pith_short_16: U4VRNEWPYBHGK36E · pith_short_8: U4VRNEWP

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/U4VRNEWPYBHGK36EG7OR4OI3R3 \
  | 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: a72b1692cfc04e656fc437dd1e391b8ee2fc69a4d4ef596470070117ab3d432e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a87d02ccb7a1994393416688c64e0a32b7e06875a2a66e0d034a79b9aca1ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-30T20:23:33Z",
    "title_canon_sha256": "854e53a011e91b302850d523508034faf750591ddcf50b92c31f45f904a5470d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09455",
    "kind": "arxiv",
    "version": 1
  }
}