Pith Number

pith:25UQ2X4N

pith:2011:25UQ2X4NNUB5YWUVRNE7APMEUY

not attested not anchored not stored refs pending

Differentiating Matrix Functions

Kelly Bickel

arxiv:1104.0336 v2 · 2011-04-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25UQ2X4NNUB5YWUVRNE7APMEUY}

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	2026-05-18T00:52:33.004190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7690d5f8d6d03dc5a958b49f03d84a62ae2fb49f2b49d678da274ce22881e93

Aliases

arxiv: 1104.0336 · arxiv_version: 1104.0336v2 · doi: 10.48550/arxiv.1104.0336 · pith_short_12: 25UQ2X4NNUB5 · pith_short_16: 25UQ2X4NNUB5YWUV · pith_short_8: 25UQ2X4N

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/25UQ2X4NNUB5YWUVRNE7APMEUY \
  | 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: d7690d5f8d6d03dc5a958b49f03d84a62ae2fb49f2b49d678da274ce22881e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd78a30c27ef75c6828161a5dab49e03108fa8dbbefb56273293b02327cc7c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-02T20:40:20Z",
    "title_canon_sha256": "bd21978f5572d9c783257441d3767b1897b38d6a6708b08bfb48e9b8a2f8787a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0336",
    "kind": "arxiv",
    "version": 2
  }
}