Pith Number

pith:2TZIKNBP

pith:2013:2TZIKNBPTQ2ZSATPC6QJLLV7X5

not attested not anchored not stored refs pending

New exponential variable transform methods for functions with endpoint singularities

Ben Adcock, Mark Richardson

arxiv:1305.2643 v2 · 2013-05-12 · 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{2TZIKNBPTQ2ZSATPC6QJLLV7X5}

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	2026-05-18T02:52:47.952929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f285342f9c3599026f17a095aebfbf4659501984a4a15ba2cf72c53ce80fde

Aliases

arxiv: 1305.2643 · arxiv_version: 1305.2643v2 · doi: 10.48550/arxiv.1305.2643 · pith_short_12: 2TZIKNBPTQ2Z · pith_short_16: 2TZIKNBPTQ2ZSATP · pith_short_8: 2TZIKNBP

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/2TZIKNBPTQ2ZSATPC6QJLLV7X5 \
  | 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: d4f285342f9c3599026f17a095aebfbf4659501984a4a15ba2cf72c53ce80fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560eb06cd8522dbc6c09bcee56a91a13823078bc70f0aa553923c3e74d3d8fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-12T22:59:24Z",
    "title_canon_sha256": "9dcaed92e68383fe2714947f80c441c8c1efb7aad3f7ab800d849a6dd9bc1d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2643",
    "kind": "arxiv",
    "version": 2
  }
}