Pith Number

pith:6TRZ4DZM

pith:2010:6TRZ4DZMT6WB6T7D5D5BFEGP2O

not attested not anchored not stored refs pending

Magnetic calculus and semiclassical trace formulas

Bernard Helffer, Radu Purice

arxiv:1005.1795 v1 · 2010-05-11 · 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{6TRZ4DZMT6WB6T7D5D5BFEGP2O}

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	2026-05-18T03:28:43.231028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e39e0f2c9fac1f4fe3e8fa1290cfd3b6ef84a84496ed2264455fe7b01f4578

Aliases

arxiv: 1005.1795 · arxiv_version: 1005.1795v1 · doi: 10.48550/arxiv.1005.1795 · pith_short_12: 6TRZ4DZMT6WB · pith_short_16: 6TRZ4DZMT6WB6T7D · pith_short_8: 6TRZ4DZM

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/6TRZ4DZMT6WB6T7D5D5BFEGP2O \
  | 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: f4e39e0f2c9fac1f4fe3e8fa1290cfd3b6ef84a84496ed2264455fe7b01f4578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81fa9d9ab70c19b11f8984f7a7a36bc2e1ce5f108acb21f61dcd72e3067c189f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-11T10:42:34Z",
    "title_canon_sha256": "8eb280552aaf6230867f4a85c8f92ca0b7436268edad5c0a9767e52f516d50bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1795",
    "kind": "arxiv",
    "version": 1
  }
}