Pith Number

pith:ARA35ENY

pith:2014:ARA35ENYJICOFFDFDAIWZQAJXX

not attested not anchored not stored refs pending

Functions operating on modulation spaces and nonlinear dispersive equations

Divyang G. Bhimani, P. K. Ratnakumar

arxiv:1412.0362 v1 · 2014-12-01 · 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{ARA35ENYJICOFFDFDAIWZQAJXX}

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	2026-05-18T02:32:28.019019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0441be91b84a04e2946518116cc009bdcc49b73804676d656dc963b3c1e1650b

Aliases

arxiv: 1412.0362 · arxiv_version: 1412.0362v1 · doi: 10.48550/arxiv.1412.0362 · pith_short_12: ARA35ENYJICO · pith_short_16: ARA35ENYJICOFFDF · pith_short_8: ARA35ENY

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/ARA35ENYJICOFFDFDAIWZQAJXX \
  | 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: 0441be91b84a04e2946518116cc009bdcc49b73804676d656dc963b3c1e1650b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949a6712bae4886f3127a5ce54e6768cbc4376298b7496f616967f5ef638fe49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-01T06:57:45Z",
    "title_canon_sha256": "19a2e206d3ac555ba2ff2772ae199e5088baa151d88469a0c9b858186b7670f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0362",
    "kind": "arxiv",
    "version": 1
  }
}