Pith Number

pith:2YKZW7AY

pith:2012:2YKZW7AYFTAUSJB4QQTMTA77FB

not attested not anchored not stored refs pending

Piecewise affine approximations for functions of bounded variation

Filip Rindler, Jan Kristensen

arxiv:1211.1792 v2 · 2012-11-08 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YKZW7AYFTAUSJB4QQTMTA77FB}

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	2026-05-18T01:36:31.811478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6159b7c182cc149243c8426c983ff2865beab96b799e959bf5edcb4f94fda64

Aliases

arxiv: 1211.1792 · arxiv_version: 1211.1792v2 · doi: 10.48550/arxiv.1211.1792 · pith_short_12: 2YKZW7AYFTAU · pith_short_16: 2YKZW7AYFTAUSJB4 · pith_short_8: 2YKZW7AY

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/2YKZW7AYFTAUSJB4QQTMTA77FB \
  | 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: d6159b7c182cc149243c8426c983ff2865beab96b799e959bf5edcb4f94fda64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998188d12947e93ea8b90a2772e3a6b3123faacc55adc64a3d899a926d4ad0c0",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-08T08:45:40Z",
    "title_canon_sha256": "4ac85e34276bf69f1bd4b298fe1218cadb4a4241f0782415662239e629fda763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1792",
    "kind": "arxiv",
    "version": 2
  }
}