Pith Number

pith:FFIW2JYQ

pith:2008:FFIW2JYQSUOA5BXKTD3TJCV5HR

not attested not anchored not stored refs pending

The Natural Logarithm on Time Scales

Delfim F. M. Torres, Dorota Mozyrska

arxiv:0809.4555 v1 · 2008-09-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFIW2JYQSUOA5BXKTD3TJCV5HR}

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	2026-05-18T03:07:42.638354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29516d2710951c0e86ea98f7348abd3c797d76726eedececd6dad42a3d8eeecc

Aliases

arxiv: 0809.4555 · arxiv_version: 0809.4555v1 · doi: 10.48550/arxiv.0809.4555 · pith_short_12: FFIW2JYQSUOA · pith_short_16: FFIW2JYQSUOA5BXK · pith_short_8: FFIW2JYQ

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/FFIW2JYQSUOA5BXKTD3TJCV5HR \
  | 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: 29516d2710951c0e86ea98f7348abd3c797d76726eedececd6dad42a3d8eeecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f0bbdd1ce34464920234ee15125bd58b2f04677c1856101e3307ee05b55dff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-09-26T08:05:53Z",
    "title_canon_sha256": "e875a5272f84f0ff886de7afee1d627e01886b023fa56040422517f2c769839c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4555",
    "kind": "arxiv",
    "version": 1
  }
}