Pith Number

pith:ZQTSLH4H

pith:2012:ZQTSLH4H3BZ5Q3WNMI6MYM3SJX

not attested not anchored not stored refs pending

Fixed points of endomorphisms of trace monoids

Emanuele Rodaro, Pedro V. Silva

arxiv:1211.4517 v1 · 2012-11-19 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQTSLH4H3BZ5Q3WNMI6MYM3SJX}

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	2026-05-18T03:40:26.637116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc27259f87d873d86ecd623ccc33724dfdb0d03ae5a77828f39102fab040c25c

Aliases

arxiv: 1211.4517 · arxiv_version: 1211.4517v1 · doi: 10.48550/arxiv.1211.4517 · pith_short_12: ZQTSLH4H3BZ5 · pith_short_16: ZQTSLH4H3BZ5Q3WN · pith_short_8: ZQTSLH4H

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/ZQTSLH4H3BZ5Q3WNMI6MYM3SJX \
  | 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: cc27259f87d873d86ecd623ccc33724dfdb0d03ae5a77828f39102fab040c25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b90a00e8d11986f4da6c3f129567d9f3ec965aafe82c7bf84ec361efba0f78",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-19T17:39:18Z",
    "title_canon_sha256": "edb6657a4ac3627438e1eb56d7bd6fc74dda290a243ae627fbb6010ffd62902b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4517",
    "kind": "arxiv",
    "version": 1
  }
}