Pith Number

pith:MOJG57U3

pith:2017:MOJG57U37T4GXYFKM7X3F63TQ4

not attested not anchored not stored refs pending

The Shannon-McMillan-Breiman theorem beyond amenable groups

Amos Nevo, Felix Pogorzelski

arxiv:1701.03965 v2 · 2017-01-14 · 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{MOJG57U37T4GXYFKM7X3F63TQ4}

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	2026-05-17T23:51:21.698189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63926efe9bfcf86be0aa67efb2fb738733fc55b69ff20d396818763c532b0e37

Aliases

arxiv: 1701.03965 · arxiv_version: 1701.03965v2 · doi: 10.48550/arxiv.1701.03965 · pith_short_12: MOJG57U37T4G · pith_short_16: MOJG57U37T4GXYFK · pith_short_8: MOJG57U3

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/MOJG57U37T4GXYFKM7X3F63TQ4 \
  | 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: 63926efe9bfcf86be0aa67efb2fb738733fc55b69ff20d396818763c532b0e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0975ef60c5218239e009f6df1d46353c83bfedcf8f28c7fae3fa2afdbfd1e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-14T21:14:20Z",
    "title_canon_sha256": "c359d37a34e71ca6abf6a3b437de60783428c317a8f7e3b75017e7b02c6bdf3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03965",
    "kind": "arxiv",
    "version": 2
  }
}