Pith Number

pith:ZCCCTO4Z

pith:2008:ZCCCTO4ZCDKY2D6LJQF7EREGCC

not attested not anchored not stored refs pending

Comparison of estimates for dispersive equations

Michael Ruzhansky, Mitsuru Sugimoto

arxiv:0802.2611 v1 · 2008-02-19 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCCCTO4ZCDKY2D6LJQF7EREGCC}

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	2026-05-18T03:41:01.727960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88429bb9910d58d0fcb4c0bf24486109e276d795e083d438cc541c2a5fa021b

Aliases

arxiv: 0802.2611 · arxiv_version: 0802.2611v1 · doi: 10.48550/arxiv.0802.2611 · pith_short_12: ZCCCTO4ZCDKY · pith_short_16: ZCCCTO4ZCDKY2D6L · pith_short_8: ZCCCTO4Z

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/ZCCCTO4ZCDKY2D6LJQF7EREGCC \
  | 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: c88429bb9910d58d0fcb4c0bf24486109e276d795e083d438cc541c2a5fa021b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7420eda99c600a31fca43d3a65bf64a905c6bf700928f513fe2d0859650e996",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-19T09:04:37Z",
    "title_canon_sha256": "981fd7bdb56139270995ce3eeb22af95832b4b41142a60be234b173ed5453d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2611",
    "kind": "arxiv",
    "version": 1
  }
}