Pith Number

pith:OXDJWF3H

pith:2013:OXDJWF3HTMSKM2R2QR7H3RGBIP

not attested not anchored not stored refs pending

Ergodic currents dual to a real tree

Arnaud Hilion, Thierry Coulbois

arxiv:1302.3766 v2 · 2013-02-15 · math.GR · 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{OXDJWF3HTMSKM2R2QR7H3RGBIP}

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	2026-05-17T23:53:17.892669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c69b17679b24a66a3a847e7dc4c143d14997b5639949ca02c20303adedad88

Aliases

arxiv: 1302.3766 · arxiv_version: 1302.3766v2 · doi: 10.48550/arxiv.1302.3766 · pith_short_12: OXDJWF3HTMSK · pith_short_16: OXDJWF3HTMSKM2R2 · pith_short_8: OXDJWF3H

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/OXDJWF3HTMSKM2R2QR7H3RGBIP \
  | 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: 75c69b17679b24a66a3a847e7dc4c143d14997b5639949ca02c20303adedad88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8920968909632019840af64e0cc4313ce66b146f3b125a0fe59ea63d2899bb3f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-15T14:55:44Z",
    "title_canon_sha256": "5a0f34fc204fbe185beb298c69c22271c19cd06058c8c5a97b231cb1f5ed3a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3766",
    "kind": "arxiv",
    "version": 2
  }
}