Pith Number

pith:WLVVLVAX

pith:2011:WLVVLVAXLIJKLP2OJ2FM24SHFK

not attested not anchored not stored refs pending

Translation invariance of Fock spaces

Kehe Zhu

arxiv:1101.4201 v1 · 2011-01-21 · math.CV · 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{WLVVLVAXLIJKLP2OJ2FM24SHFK}

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	2026-05-18T04:31:12.542427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2eb55d4175a12a5bf4e4e8acd72472ab4223fba0275024cdfb37bf9ec2a8e08

Aliases

arxiv: 1101.4201 · arxiv_version: 1101.4201v1 · doi: 10.48550/arxiv.1101.4201 · pith_short_12: WLVVLVAXLIJK · pith_short_16: WLVVLVAXLIJKLP2O · pith_short_8: WLVVLVAX

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/WLVVLVAXLIJKLP2OJ2FM24SHFK \
  | 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: b2eb55d4175a12a5bf4e4e8acd72472ab4223fba0275024cdfb37bf9ec2a8e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3f8ed91af5dc7452dc9c5252e7faa025153dcc0d829adca4f93e8233070b36",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-01-21T18:27:51Z",
    "title_canon_sha256": "4627aac315f644cb314e5f14236874c9dfe453d37a81053504fae07c869d55ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4201",
    "kind": "arxiv",
    "version": 1
  }
}