Pith Number

pith:BEHNWWQJ

pith:2016:BEHNWWQJP5H7ERF2D7MY3HOTBE

not attested not anchored not stored refs pending

Ergodic properties of matrix equilibrium states

Ian D. Morris

arxiv:1603.01744 v2 · 2016-03-05 · 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{BEHNWWQJP5H7ERF2D7MY3HOTBE}

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	2026-05-18T01:03:11.903541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090edb5a097f4ff244ba1fd98d9dd30935f10c5af8eb3cbc7a130e83d0650313

Aliases

arxiv: 1603.01744 · arxiv_version: 1603.01744v2 · doi: 10.48550/arxiv.1603.01744 · pith_short_12: BEHNWWQJP5H7 · pith_short_16: BEHNWWQJP5H7ERF2 · pith_short_8: BEHNWWQJ

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/BEHNWWQJP5H7ERF2D7MY3HOTBE \
  | 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: 090edb5a097f4ff244ba1fd98d9dd30935f10c5af8eb3cbc7a130e83d0650313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abbf730b73a71ca8c0883669e053c98a4b4df3c5921787c53d0902d3f680bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-05T17:37:20Z",
    "title_canon_sha256": "c6ffa48f670225afa4035c337e12b8477424fd2e0c8bc3aa3c68f4064cb946c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01744",
    "kind": "arxiv",
    "version": 2
  }
}