Pith Number

pith:KBIF2A3C

pith:2014:KBIF2A3CA2DTMSPUU2ROFINT4E

not attested not anchored not stored refs pending

A calculus of abstract edge pseudodifferential operators of type $\varrho,\delta$

Thomas Krainer

arxiv:1403.6100 v1 · 2014-03-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBIF2A3CA2DTMSPUU2ROFINT4E}

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	2026-05-18T02:55:39.796852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50505d036206873649f4a6a2e2a1b3e10e13248ca74ea34e34f13ac31dc396d1

Aliases

arxiv: 1403.6100 · arxiv_version: 1403.6100v1 · doi: 10.48550/arxiv.1403.6100 · pith_short_12: KBIF2A3CA2DT · pith_short_16: KBIF2A3CA2DTMSPU · pith_short_8: KBIF2A3C

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/KBIF2A3CA2DTMSPUU2ROFINT4E \
  | 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: 50505d036206873649f4a6a2e2a1b3e10e13248ca74ea34e34f13ac31dc396d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcf0fb8f26c5804b2f028fe35c54d55183e80c1c327e27f90d732c20418a2aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-24T19:47:45Z",
    "title_canon_sha256": "709e0657c4aedbe9bbe40a6a22ae966707a7ac497c4260feefd051b54c18acc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6100",
    "kind": "arxiv",
    "version": 1
  }
}