Pith Number

pith:BVDIPBDO

pith:2011:BVDIPBDOZDT6FCMI6AUTYBIF4C

not attested not anchored not stored refs pending

Ergodic Theory Over ${\F}_2[[T]]$

Dongdai Lin, Tao Shi, Zifeng Yang

arxiv:1103.2968 v3 · 2011-03-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVDIPBDOZDT6FCMI6AUTYBIF4C}

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	2026-05-18T03:33:12.169122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4687846ec8e7e28988f0293c0505e0ac93655e88e2d05f65670082fb821484

Aliases

arxiv: 1103.2968 · arxiv_version: 1103.2968v3 · doi: 10.48550/arxiv.1103.2968 · pith_short_12: BVDIPBDOZDT6 · pith_short_16: BVDIPBDOZDT6FCMI · pith_short_8: BVDIPBDO

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/BVDIPBDOZDT6FCMI6AUTYBIF4C \
  | 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: 0d4687846ec8e7e28988f0293c0505e0ac93655e88e2d05f65670082fb821484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd29172753dd10d73da382f57476b1a84cfa03f3d8a38f6ac65915e6e3d52c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-15T17:26:47Z",
    "title_canon_sha256": "56c533b96bd1059be0f7af09960563b8111f0d9b501db4df97412b41bf1fc92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2968",
    "kind": "arxiv",
    "version": 3
  }
}