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Pith Number

pith:4FW7OASX

pith:2016:4FW7OASXLEM37X4SRY3HJ5M32F
not attested not anchored not stored refs pending

Thinning and Information Projections

Ioannis Kontoyiannis, Oliver Johnson, Peter Harremo\"es

arxiv:1601.04255 v1 · 2016-01-17 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4FW7OASXLEM37X4SRY3HJ5M32F}

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 2026-05-18T01:22:45.503844Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e16df702575919bfdf928e3674f59bd14e1bc4438faa0cf80835233865e1ec34

Aliases

arxiv: 1601.04255 · arxiv_version: 1601.04255v1 · doi: 10.48550/arxiv.1601.04255 · pith_short_12: 4FW7OASXLEM3 · pith_short_16: 4FW7OASXLEM37X4S · pith_short_8: 4FW7OASX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4FW7OASXLEM37X4SRY3HJ5M32F \
  | 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: e16df702575919bfdf928e3674f59bd14e1bc4438faa0cf80835233865e1ec34
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c28fcf1b211513cfcdf092f39e902cd312404fdec9943700f89a22ae1fe8f909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-17T06:56:26Z",
    "title_canon_sha256": "69303f2787d834188e2c8ca309995ab719a2c22947a06238881ad1936032c3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04255",
    "kind": "arxiv",
    "version": 1
  }
}