Pith Number

pith:HLFVVB5B

pith:2012:HLFVVB5BYR7DM7COOWXIXJ4TWG

not attested not anchored not stored refs pending

Supersymmetric structures for second order differential operators

Frederic Herau, Johannes Sjoestrand, Michael Hitrik

arxiv:1209.2539 v1 · 2012-09-12 · math-ph · math.AP · 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{HLFVVB5BYR7DM7COOWXIXJ4TWG}

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	2026-05-18T03:45:42.840147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3acb5a87a1c47e367c4e75ae8ba793b18393d56dd2ee5925b53412182f797560

Aliases

arxiv: 1209.2539 · arxiv_version: 1209.2539v1 · doi: 10.48550/arxiv.1209.2539 · pith_short_12: HLFVVB5BYR7D · pith_short_16: HLFVVB5BYR7DM7CO · pith_short_8: HLFVVB5B

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/HLFVVB5BYR7DM7COOWXIXJ4TWG \
  | 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: 3acb5a87a1c47e367c4e75ae8ba793b18393d56dd2ee5925b53412182f797560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe0d7c77adffe270fe129e32e949c9937dc194c0f79372fe7864ad9844bb8c4e",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-12T09:52:17Z",
    "title_canon_sha256": "d1abe40f58100e5b12d34cd63403498231e1f4d4226e4074391c555e0d31c06a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2539",
    "kind": "arxiv",
    "version": 1
  }
}