Pith Number

pith:XMPXYQFV

pith:2017:XMPXYQFV4RWP67K45OC4IJ242V

not attested not anchored not stored refs pending

Type 1,1-operators defined by vanishing frequency modulation

Jon Johnsen

arxiv:1701.03334 v1 · 2017-01-12 · 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{XMPXYQFV4RWP67K45OC4IJ242V}

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	2026-05-18T00:52:57.931897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1f7c40b5e46cff7d5ceb85c4275cd56c1723d90acce292216d6c98cb226584

Aliases

arxiv: 1701.03334 · arxiv_version: 1701.03334v1 · doi: 10.48550/arxiv.1701.03334 · pith_short_12: XMPXYQFV4RWP · pith_short_16: XMPXYQFV4RWP67K4 · pith_short_8: XMPXYQFV

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/XMPXYQFV4RWP67K45OC4IJ242V \
  | 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: bb1f7c40b5e46cff7d5ceb85c4275cd56c1723d90acce292216d6c98cb226584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d53951d5769dda6a5bb3a5d95e4315be2fdfdaa7793a6ad63748db7fb68476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-12T13:25:05Z",
    "title_canon_sha256": "d387697f4f6b286f6788a6305d734b6b9b80fdea0e7e63fff7c57f52ef56f7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03334",
    "kind": "arxiv",
    "version": 1
  }
}