Pith Number

pith:QVDPZF2P

pith:2010:QVDPZF2P7W75ZCSSBXQYCAH4DU

not attested not anchored not stored refs pending

Perturbations and operator trace functions

Walter D. van Suijlekom

arxiv:1012.3306 v1 · 2010-12-15 · math.FA · hep-th · 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{QVDPZF2P7W75ZCSSBXQYCAH4DU}

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	2026-05-18T04:33:17.192215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8546fc974ffdbfdc8a520de18100fc1d06d7a81fc5f9d8ad9dd9308ddc098e7f

Aliases

arxiv: 1012.3306 · arxiv_version: 1012.3306v1 · doi: 10.48550/arxiv.1012.3306 · pith_short_12: QVDPZF2P7W75 · pith_short_16: QVDPZF2P7W75ZCSS · pith_short_8: QVDPZF2P

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/QVDPZF2P7W75ZCSSBXQYCAH4DU \
  | 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: 8546fc974ffdbfdc8a520de18100fc1d06d7a81fc5f9d8ad9dd9308ddc098e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32a30e5f5267528b0279271108fbba598c11b59ad489416cee7162a1eaa7cc9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-15T12:23:12Z",
    "title_canon_sha256": "77bfce82163fe7728f95ee814831bfb8624d474472a07a46a5208c47bc7dc4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3306",
    "kind": "arxiv",
    "version": 1
  }
}