Pith Number

pith:AYKTMNHR

pith:2016:AYKTMNHRCQL2MJJQLTHKVW4FYZ

not attested not anchored not stored refs pending

Ergodic boundary representations

Adrien Boyer, Christophe Pittet, Gabriele Link

arxiv:1608.07131 v2 · 2016-08-25 · 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{AYKTMNHRCQL2MJJQLTHKVW4FYZ}

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	2026-05-18T01:04:27.122763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06153634f11417a625305cceaadb85c67f740d0ab5e6211972588425a5245a98

Aliases

arxiv: 1608.07131 · arxiv_version: 1608.07131v2 · doi: 10.48550/arxiv.1608.07131 · pith_short_12: AYKTMNHRCQL2 · pith_short_16: AYKTMNHRCQL2MJJQ · pith_short_8: AYKTMNHR

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/AYKTMNHRCQL2MJJQLTHKVW4FYZ \
  | 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: 06153634f11417a625305cceaadb85c67f740d0ab5e6211972588425a5245a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81b74fed9fd163614d7038d79d2f41f7071a30349f03c4ca6e97f917db2a412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-25T13:18:55Z",
    "title_canon_sha256": "f183f82dea83b5a3fc4ed4dbf82a624ff8573576c4a449203f60595ee229598a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07131",
    "kind": "arxiv",
    "version": 2
  }
}