Pith Number

pith:MPXTXFQO

pith:2018:MPXTXFQOFWOLSMGRXB3772FZUM

not attested not anchored not stored refs pending

A descriptive construction of trees and Stallings' theorem

Anush Tserunyan

arxiv:1805.09506 v4 · 2018-05-24 · math.GR · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPXTXFQOFWOLSMGRXB3772FZUM}

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	2026-05-18T00:12:43.034375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ef3b960e2d9cb930d1b877ffe8b9a33f417abd693d279baeacfeed52789151

Aliases

arxiv: 1805.09506 · arxiv_version: 1805.09506v4 · doi: 10.48550/arxiv.1805.09506 · pith_short_12: MPXTXFQOFWOL · pith_short_16: MPXTXFQOFWOLSMGR · pith_short_8: MPXTXFQO

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/MPXTXFQOFWOLSMGRXB3772FZUM \
  | 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: 63ef3b960e2d9cb930d1b877ffe8b9a33f417abd693d279baeacfeed52789151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6e86b44320a7928710091bbef6ee81125f3cd31892f2e48ef2299a4b85c7f3",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-24T04:53:07Z",
    "title_canon_sha256": "d76b7609cfdc6e0d53084a0bc7159cb99520177ac619a2141872348b40da783f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09506",
    "kind": "arxiv",
    "version": 4
  }
}