Pith Number

pith:AAAV4OHG

pith:2005:AAAV4OHGR3ABUWN4XE2PD4GQNM

not attested not anchored not stored refs pending

Large time behavior of the solutions to the difference wave operators

B. Vainberg, H. Islami

arxiv:math/0503128 v1 · 2005-03-07 · 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{AAAV4OHGR3ABUWN4XE2PD4GQNM}

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	2026-05-18T01:17:53.715871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00015e38e68ec01a59bcb934f1f0d06b218ea15f37601e240b9b4d7ba6c1f338

Aliases

arxiv: math/0503128 · arxiv_version: math/0503128v1 · doi: 10.48550/arxiv.math/0503128 · pith_short_12: AAAV4OHGR3AB · pith_short_16: AAAV4OHGR3ABUWN4 · pith_short_8: AAAV4OHG

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/AAAV4OHGR3ABUWN4XE2PD4GQNM \
  | 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: 00015e38e68ec01a59bcb934f1f0d06b218ea15f37601e240b9b4d7ba6c1f338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb09da86288742f72adba17ff712ba97561452e4cc17e519af42f06fec96b5b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-03-07T19:49:24Z",
    "title_canon_sha256": "09d095e8a56a65c774714f282e98c139ee874c871c14b094a4344e2cd70f9a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503128",
    "kind": "arxiv",
    "version": 1
  }
}