Pith Number

pith:4Z3R5LKK

pith:2013:4Z3R5LKKT55324MZZ72I7ALARN

not attested not anchored not stored refs pending

Simultaneous double transformations of functions depending on space and time

Vincent Rossetto

arxiv:1311.3140 v2 · 2013-11-13 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z3R5LKKT55324MZZ72I7ALARN}

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	2026-05-18T02:52:49.441871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6771ead4a9f7bbd7199cff48f81608b5067c7ee745207a9ecdadfc9c29be0b2

Aliases

arxiv: 1311.3140 · arxiv_version: 1311.3140v2 · doi: 10.48550/arxiv.1311.3140 · pith_short_12: 4Z3R5LKKT553 · pith_short_16: 4Z3R5LKKT55324MZ · pith_short_8: 4Z3R5LKK

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/4Z3R5LKKT55324MZZ72I7ALARN \
  | 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: e6771ead4a9f7bbd7199cff48f81608b5067c7ee745207a9ecdadfc9c29be0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdd3e09f17476e081052c88080851590e090c18f540224f8038e40a9a4ac32a",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-13T14:27:24Z",
    "title_canon_sha256": "08c89a44b794c17abbf382b3678c6887d22b0fdc35c8cb05b2a44152bf09a08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3140",
    "kind": "arxiv",
    "version": 2
  }
}