Pith Number

pith:3JHZY2DZ

pith:2012:3JHZY2DZ2MEZ4MBH6XORGGKFGT

not attested not anchored not stored refs pending

On the a.c. spectrum of 1D discrete Dirac operator

Sylvain Golenia (IMB), Tristan Haugomat (ENS Cachan Bretagne)

arxiv:1207.3516 v2 · 2012-07-15 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JHZY2DZ2MEZ4MBH6XORGGKFGT}

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	2026-05-18T03:00:01.226088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4f9c6879d3099e3027f5dd13194534d9032644f845ac0f5a653796f222da7c

Aliases

arxiv: 1207.3516 · arxiv_version: 1207.3516v2 · doi: 10.48550/arxiv.1207.3516 · pith_short_12: 3JHZY2DZ2MEZ · pith_short_16: 3JHZY2DZ2MEZ4MBH · pith_short_8: 3JHZY2DZ

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/3JHZY2DZ2MEZ4MBH6XORGGKFGT \
  | 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: da4f9c6879d3099e3027f5dd13194534d9032644f845ac0f5a653796f222da7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef6b5d41d47f0bbb307ff395b13a1553ea1700db98ac15c8f2b379d0651efa9",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-15T14:59:09Z",
    "title_canon_sha256": "8ae15467360629d4b2c07bc22feb6806a499135ae39be52ac66b57f0531fe918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3516",
    "kind": "arxiv",
    "version": 2
  }
}