Pith Number

pith:B34PYBLX

pith:2019:B34PYBLXDSWCAX4OUUJOIDYO65

not attested not anchored not stored refs pending

Arc length of function graphs via Taylor's formula

Patrik Nystedt

arxiv:1904.07006 v1 · 2019-04-15 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B34PYBLXDSWCAX4OUUJOIDYO65}

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	2026-05-17T23:48:35.498418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef8fc05771cac205f8ea512e40f0ef7531716cede65028dc67ce7c4a7154768

Aliases

arxiv: 1904.07006 · arxiv_version: 1904.07006v1 · doi: 10.48550/arxiv.1904.07006 · pith_short_12: B34PYBLXDSWC · pith_short_16: B34PYBLXDSWCAX4O · pith_short_8: B34PYBLX

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/B34PYBLXDSWCAX4OUUJOIDYO65 \
  | 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: 0ef8fc05771cac205f8ea512e40f0ef7531716cede65028dc67ce7c4a7154768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e56d92f0e311cb614404ad176d587c6dbcbff4b134238b22e441d024de08a2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-04-15T12:50:06Z",
    "title_canon_sha256": "856560164922738065a6d696d00bcc527f5ebe1ecf15c9f7526fac1073107b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07006",
    "kind": "arxiv",
    "version": 1
  }
}