Pith Number

pith:RA2XKKCJ

pith:2013:RA2XKKCJATGUHCNBOX7TDEPZ5H

not attested not anchored not stored refs pending

Piecewise linear approximation of smooth functions of two variables

Joseph H.G. Fu, Ryan C. Scott

arxiv:1305.2220 v2 · 2013-05-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RA2XKKCJATGUHCNBOX7TDEPZ5H}

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	2026-05-18T03:20:34.913962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883575284904cd4389a175ff3191f9e9d5ce22ed1509ee79238476fb02a86e47

Aliases

arxiv: 1305.2220 · arxiv_version: 1305.2220v2 · doi: 10.48550/arxiv.1305.2220 · pith_short_12: RA2XKKCJATGU · pith_short_16: RA2XKKCJATGUHCNB · pith_short_8: RA2XKKCJ

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/RA2XKKCJATGUHCNBOX7TDEPZ5H \
  | 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: 883575284904cd4389a175ff3191f9e9d5ce22ed1509ee79238476fb02a86e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcc4bbebe9f5683d9e0391e9eefc09c5a9faa7d87d6ddfc70f7099620c3836e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-09T21:35:27Z",
    "title_canon_sha256": "9eb075916bb161e2f97479e3d1c67a25eb8f2a9dbe70e5b828ec433e244cad3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2220",
    "kind": "arxiv",
    "version": 2
  }
}