Pith Number

pith:ITEDYICN

pith:2017:ITEDYICNU7BS2HBTBQ7IKMHWUV

not attested not anchored not stored refs pending

Tree substitutions and Rauzy fractals

Milton Minervino, Thierry Coulbois

arxiv:1711.03535 v1 · 2017-11-08 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITEDYICNU7BS2HBTBQ7IKMHWUV}

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	2026-05-18T00:30:54.327185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c83c204da7c32d1c330c3e8530f6a57f4712f5312b118068943dd9f3a5e275

Aliases

arxiv: 1711.03535 · arxiv_version: 1711.03535v1 · doi: 10.48550/arxiv.1711.03535 · pith_short_12: ITEDYICNU7BS · pith_short_16: ITEDYICNU7BS2HBT · pith_short_8: ITEDYICN

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/ITEDYICNU7BS2HBTBQ7IKMHWUV \
  | 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: 44c83c204da7c32d1c330c3e8530f6a57f4712f5312b118068943dd9f3a5e275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef83337370489fe0d15807db4d928029fd2ddbdcd578e5704a05903ff005c75d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-08T14:14:07Z",
    "title_canon_sha256": "3d61e92b201a341219afc1bc977cd939d93b2a5415f9a146f1d00780c00f1092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03535",
    "kind": "arxiv",
    "version": 1
  }
}