Pith Number

pith:IV47H4U4

pith:2013:IV47H4U4PS3HUVXSN3AQKMAZMX

not attested not anchored not stored refs pending

Constructing non-uniquely ergodic arational trees

Brian Mann, Patrick Reynolds

arxiv:1311.1771 v1 · 2013-11-07 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV47H4U4PS3HUVXSN3AQKMAZMX}

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	2026-05-18T03:07:43.386805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4579f3f29c7cb67a56f26ec105301965f70076d0b35cb0a9aa60195d4aa89f30

Aliases

arxiv: 1311.1771 · arxiv_version: 1311.1771v1 · doi: 10.48550/arxiv.1311.1771 · pith_short_12: IV47H4U4PS3H · pith_short_16: IV47H4U4PS3HUVXS · pith_short_8: IV47H4U4

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/IV47H4U4PS3HUVXSN3AQKMAZMX \
  | 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: 4579f3f29c7cb67a56f26ec105301965f70076d0b35cb0a9aa60195d4aa89f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21b9b7f44fd4bd6fc12e8a2128d69076e36d3fff47de29d3a7ed5e1c5ef3724",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-07T17:59:38Z",
    "title_canon_sha256": "94ce3ac4695ccbfb1e28615611800a2bf844862488590ba8e42e19dc22029850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1771",
    "kind": "arxiv",
    "version": 1
  }
}