Pith Number

pith:I6MP5CAV

pith:2013:I6MP5CAVPX76LXR3OGI7JJ3GTU

not attested not anchored not stored refs pending

From quasimodes to resonances: exponentially decaying perturbations

Oran Gannot

arxiv:1305.2896 v3 · 2013-05-13 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6MP5CAVPX76LXR3OGI7JJ3GTU}

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	2026-05-18T01:22:25.373170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4798fe88157dffe5de3b7191f4a7669d01b891289096226675cdb2f3481630d7

Aliases

arxiv: 1305.2896 · arxiv_version: 1305.2896v3 · doi: 10.48550/arxiv.1305.2896 · pith_short_12: I6MP5CAVPX76 · pith_short_16: I6MP5CAVPX76LXR3 · pith_short_8: I6MP5CAV

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/I6MP5CAVPX76LXR3OGI7JJ3GTU \
  | 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: 4798fe88157dffe5de3b7191f4a7669d01b891289096226675cdb2f3481630d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841dc0fafe8b535939b11857c308c8a8442cc79c6b96353df483356993d7573c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-13T19:20:38Z",
    "title_canon_sha256": "1f6b252d0832fdd1a9e88a7076fc074b8acdf0c8a49a3367258295b86dcb89a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2896",
    "kind": "arxiv",
    "version": 3
  }
}