Pith Number

pith:VTDXFFCI

pith:2013:VTDXFFCIOIAI4B3RUPS3NCP3QE

not attested not anchored not stored refs pending

Quasimodes and unstability for linear Schr\^odinger equation

Philippe Kerdelhu\'e (LM-Orsay)

arxiv:1312.4480 v1 · 2013-12-16 · 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{VTDXFFCIOIAI4B3RUPS3NCP3QE}

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	2026-05-18T03:04:24.634834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc772944872008e0771a3e5b689fb810673a08b9234b7922ae2b211959767d6

Aliases

arxiv: 1312.4480 · arxiv_version: 1312.4480v1 · doi: 10.48550/arxiv.1312.4480 · pith_short_12: VTDXFFCIOIAI · pith_short_16: VTDXFFCIOIAI4B3R · pith_short_8: VTDXFFCI

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/VTDXFFCIOIAI4B3RUPS3NCP3QE \
  | 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: acc772944872008e0771a3e5b689fb810673a08b9234b7922ae2b211959767d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0143a9bd53f05524f38303ced17a6497dbf4075a4c7a4722f6a0424e87854ccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-16T19:43:27Z",
    "title_canon_sha256": "eab0b5b23fcd98c90b842e627e60c42ca9152bf9cbe6f0148e405662cff6b12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4480",
    "kind": "arxiv",
    "version": 1
  }
}