Pith Number

pith:TTLWZMQU

pith:2014:TTLWZMQURBCQBN6LFQIZEJIVF3

not attested not anchored not stored refs pending

On random trees obtained from permutation graphs

Huseyin Acan, Pawel Hitczenko

arxiv:1406.3958 v2 · 2014-06-16 · 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{TTLWZMQURBCQBN6LFQIZEJIVF3}

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	2026-05-18T01:22:14.955483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd76cb214884500b7cb2c119225152ef5de3a6ed385cc87c066e48cfe6ccc2f

Aliases

arxiv: 1406.3958 · arxiv_version: 1406.3958v2 · doi: 10.48550/arxiv.1406.3958 · pith_short_12: TTLWZMQURBCQ · pith_short_16: TTLWZMQURBCQBN6L · pith_short_8: TTLWZMQU

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/TTLWZMQURBCQBN6LFQIZEJIVF3 \
  | 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: 9cd76cb214884500b7cb2c119225152ef5de3a6ed385cc87c066e48cfe6ccc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43c970facd7e8c2771fe69a8e923cd019c2d70bfc288f554f37cc27059ac2f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-16T10:29:08Z",
    "title_canon_sha256": "08aeb72517baf7ff140b82e8a82a637279fe5c3ade7b0e7669c8e083571c8b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3958",
    "kind": "arxiv",
    "version": 2
  }
}