Pith Number

pith:27FN2YF4

pith:2015:27FN2YF4I6BNSRUFJSF6LMX3E2

not attested not anchored not stored refs pending

Quantitative affine approximation for UMD targets

Assaf Naor, Sean Li, Tuomas Hyt\"onen

arxiv:1510.00276 v5 · 2015-10-01 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27FN2YF4I6BNSRUFJSF6LMX3E2}

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	2026-05-18T00:52:44.430931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7cadd60bc4782d946854c8be5b2fb26bfa7d7417c1d03c6ce8512dbb7017b0b

Aliases

arxiv: 1510.00276 · arxiv_version: 1510.00276v5 · doi: 10.48550/arxiv.1510.00276 · pith_short_12: 27FN2YF4I6BN · pith_short_16: 27FN2YF4I6BNSRUF · pith_short_8: 27FN2YF4

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/27FN2YF4I6BNSRUFJSF6LMX3E2 \
  | 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: d7cadd60bc4782d946854c8be5b2fb26bfa7d7417c1d03c6ce8512dbb7017b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122a5ea0aae8d83f82bce0822821b4561942fca8586340e23e8d5b06f604f16b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-01T15:09:20Z",
    "title_canon_sha256": "cc9e8d762f7892cdf35bc3329530b997f2f0e49780e5ea67fb367b74aa5b1cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00276",
    "kind": "arxiv",
    "version": 5
  }
}