Pith Number

pith:42S2PBES

pith:2026:42S2PBES7VLMTWPHKYBED2WVF6

not attested not anchored not stored refs pending

A Symmetric Layer-Union Audit of Component Collapse in Hierarchical Procedural Corpora

Gan Xu, Jiuyi Zheng

arxiv:2608.08892 v1 · 2026-08-09 · cs.IR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42S2PBES7VLMTWPHKYBED2WVF6}

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	2026-08-11T01:25:38.530912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a5a78492fd56c9d9e7560241ead52f95bb1d10cea6fd9e6532b1f1ccab7bb8

Aliases

arxiv: 2608.08892 · arxiv_version: 2608.08892v1 · doi: 10.48550/arxiv.2608.08892 · pith_short_12: 42S2PBES7VLM · pith_short_16: 42S2PBES7VLMTWPH · pith_short_8: 42S2PBES

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/42S2PBES7VLMTWPHKYBED2WVF6 \
  | 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: e6a5a78492fd56c9d9e7560241ead52f95bb1d10cea6fd9e6532b1f1ccab7bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b145eb3bc87ddabf12db3abd1e2f7c1b3bc8494bea2563952ad38446b8d8fbe5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-08-09T20:13:17Z",
    "title_canon_sha256": "7e33d0ffcd13d0cb205a138c9de457c836d43ed5fcde35b1c86ab2775f774883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08892",
    "kind": "arxiv",
    "version": 1
  }
}