Pith Number

pith:IB4H4PBH

pith:2017:IB4H4PBHSU2JZP4LR2NFIKBIXY

not attested not anchored not stored refs pending

Renormalization of total sets of states into generalized bases with a resolution of the identity

A. Vourdas

arxiv:1708.05937 v1 · 2017-08-20 · 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{IB4H4PBHSU2JZP4LR2NFIKBIXY}

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	2026-05-18T00:36:27.758934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40787e3c2795349cbf8b8e9a542828be0be3db05209e04f2c16235582ee0134c

Aliases

arxiv: 1708.05937 · arxiv_version: 1708.05937v1 · doi: 10.48550/arxiv.1708.05937 · pith_short_12: IB4H4PBHSU2J · pith_short_16: IB4H4PBHSU2JZP4L · pith_short_8: IB4H4PBH

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/IB4H4PBHSU2JZP4LR2NFIKBIXY \
  | 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: 40787e3c2795349cbf8b8e9a542828be0be3db05209e04f2c16235582ee0134c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e28a81fad6f49b46a4fdeb51c924d5e73b8302f7bf4c6dc69e6555f991c2e4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-20T07:44:17Z",
    "title_canon_sha256": "f373bcff821292c5ed1092c85922e64200c3893dc3303cac500eaf771213a7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05937",
    "kind": "arxiv",
    "version": 1
  }
}