Pith Number

pith:EIIEDXNI

pith:2019:EIIEDXNIIEOVPGZOKYVDFHTXQN

not attested not anchored not stored refs pending

Spectral theory of first-order systems: from crystals to Dirac operators

Matania Ben-Artzi, Tomio Umeda

arxiv:1902.03010 v1 · 2019-02-08 · 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{EIIEDXNIIEOVPGZOKYVDFHTXQN}

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	2026-05-17T23:54:28.588245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221041dda8411d579b2e562a329e77834bdec369479c8b1b26e889397f724261

Aliases

arxiv: 1902.03010 · arxiv_version: 1902.03010v1 · doi: 10.48550/arxiv.1902.03010 · pith_short_12: EIIEDXNIIEOV · pith_short_16: EIIEDXNIIEOVPGZO · pith_short_8: EIIEDXNI

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/EIIEDXNIIEOVPGZOKYVDFHTXQN \
  | 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: 221041dda8411d579b2e562a329e77834bdec369479c8b1b26e889397f724261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641e466acabcf940684945187093f817aacf0c46db4ce059e9c350bb5d6d3cb9",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-08T10:34:27Z",
    "title_canon_sha256": "b0272660342a6dcfa766bb439db2f74152536f6d172b0afb637c66ec525ce68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03010",
    "kind": "arxiv",
    "version": 1
  }
}