Pith Number

pith:7FCV4OSI

pith:2014:7FCV4OSIKHBX2EEJ3DG7EQ25JM

not attested not anchored not stored refs pending

Ergodic Theory and Diophantine approximation for translation surfaces and linear forms

Andrew Parrish, Jayadev Athreya, Jimmy Tseng

arxiv:1401.4148 v4 · 2014-01-16 · math.DS · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FCV4OSIKHBX2EEJ3DG7EQ25JM}

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	2026-05-18T01:14:59.074530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9455e3a4851c37d1089d8cdf2435d4b32b0af748f413ed95542e4b715fef30c

Aliases

arxiv: 1401.4148 · arxiv_version: 1401.4148v4 · doi: 10.48550/arxiv.1401.4148 · pith_short_12: 7FCV4OSIKHBX · pith_short_16: 7FCV4OSIKHBX2EEJ · pith_short_8: 7FCV4OSI

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/7FCV4OSIKHBX2EEJ3DG7EQ25JM \
  | 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: f9455e3a4851c37d1089d8cdf2435d4b32b0af748f413ed95542e4b715fef30c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5da807ccad0c33eedd0342697c4c39be72459a8576aa6fac09ae9feb80dcf045",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-16T19:58:30Z",
    "title_canon_sha256": "5993e0967119ec89193559ac04c17597e45cabfd5eb8d22d632c536f2f9c4d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4148",
    "kind": "arxiv",
    "version": 4
  }
}