Pith Number

pith:FCMEIWCW

pith:2014:FCMEIWCWHUPQWDVBXPHE75EK2D

not attested not anchored not stored refs pending

Simultaneous dense and nondense orbits and the space of lattices

Jimmy Tseng, Ronggang Shi

arxiv:1408.3572 v2 · 2014-08-15 · 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{FCMEIWCWHUPQWDVBXPHE75EK2D}

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	2026-05-18T02:29:38.736149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28984458563d1f0b0ea1bbce4ff48ad0d042afe21d8b62fa63a23362b67081de

Aliases

arxiv: 1408.3572 · arxiv_version: 1408.3572v2 · doi: 10.48550/arxiv.1408.3572 · pith_short_12: FCMEIWCWHUPQ · pith_short_16: FCMEIWCWHUPQWDVB · pith_short_8: FCMEIWCW

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/FCMEIWCWHUPQWDVBXPHE75EK2D \
  | 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: 28984458563d1f0b0ea1bbce4ff48ad0d042afe21d8b62fa63a23362b67081de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f175e1d6eb3a54d6aea447cab9ae3cbf7dc0f2c30d30a220bfe6369d8c037aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-15T15:51:14Z",
    "title_canon_sha256": "8703a5c62c840757a0a56beb414a210fffc569afb14857a06784bc55723850f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3572",
    "kind": "arxiv",
    "version": 2
  }
}