Pith Number

pith:ZZYPGPV7

pith:2014:ZZYPGPV7SKAGUPX3GDG4WQMIAK

not attested not anchored not stored refs pending

Why must we work in the phase space?

A. Martens, F. E. Schroeck, J. J. S{\l}awianowski, Jr.

arxiv:1404.2588 v1 · 2014-04-04 · math-ph · 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{ZZYPGPV7SKAGUPX3GDG4WQMIAK}

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	2026-05-18T02:54:31.139412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce70f33ebf92806a3efb30cdcb41880282d5f25c7d0aaa219ea5236e7c5afdc7

Aliases

arxiv: 1404.2588 · arxiv_version: 1404.2588v1 · doi: 10.48550/arxiv.1404.2588 · pith_short_12: ZZYPGPV7SKAG · pith_short_16: ZZYPGPV7SKAGUPX3 · pith_short_8: ZZYPGPV7

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/ZZYPGPV7SKAGUPX3GDG4WQMIAK \
  | 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: ce70f33ebf92806a3efb30cdcb41880282d5f25c7d0aaa219ea5236e7c5afdc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591b6e6a2774c30a0e3d25ca522788ad5a4e1adbbff113160410f8a2ec209788",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-04T10:52:54Z",
    "title_canon_sha256": "9e0544703dcf3b872da8ea7fe3094cb52152d1c6dfe41ea3326701dc47746e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2588",
    "kind": "arxiv",
    "version": 1
  }
}