Pith Number

pith:2FX6WK2Y

pith:2021:2FX6WK2Y5MA7PEJ56TBQDFATOC

not attested not anchored not stored refs pending

Sharp decay rate for the damped wave equation with convex-shaped damping

Chenmin Sun

arxiv:2106.11782 v3 · 2021-06-22 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FX6WK2Y5MA7PEJ56TBQDFATOC}

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	2026-07-05T03:46:20.806953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16feb2b58eb01f7913df4c301941370856e51df560a3b6dd9ef835410fce99b

Aliases

arxiv: 2106.11782 · arxiv_version: 2106.11782v3 · doi: 10.48550/arxiv.2106.11782 · pith_short_12: 2FX6WK2Y5MA7 · pith_short_16: 2FX6WK2Y5MA7PEJ5 · pith_short_8: 2FX6WK2Y

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/2FX6WK2Y5MA7PEJ56TBQDFATOC \
  | 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: d16feb2b58eb01f7913df4c301941370856e51df560a3b6dd9ef835410fce99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba0b7c33c22983dfa4993c7a0b01cf395507c59fe866d36e565da50253d7bd4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-22T13:47:25Z",
    "title_canon_sha256": "9a1f05d528318d17c3e30d82cfff2621a57af2a56a93fd1378a9d1707050df7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11782",
    "kind": "arxiv",
    "version": 3
  }
}