Pith Number

pith:TQKYLFEG

pith:2007:TQKYLFEGQEJJZZLYMFEOMHJLZV

not attested not anchored not stored refs pending

On the Dirac delta as initial condition for nonlinear Schr\"odinger equations

Luis Vega (BILBAO), Valeria Banica (DP)

arxiv:0706.0819 v1 · 2007-06-06 · 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{TQKYLFEGQEJJZZLYMFEOMHJLZV}

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	2026-05-18T02:16:30.381888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1585948681129ce5786148e61d2bcd63906981c54d70e76ceba17b1713c5e3

Aliases

arxiv: 0706.0819 · arxiv_version: 0706.0819v1 · doi: 10.48550/arxiv.0706.0819 · pith_short_12: TQKYLFEGQEJJ · pith_short_16: TQKYLFEGQEJJZZLY · pith_short_8: TQKYLFEG

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/TQKYLFEGQEJJZZLYMFEOMHJLZV \
  | 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: 9c1585948681129ce5786148e61d2bcd63906981c54d70e76ceba17b1713c5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ef6a6185db8ed40ba499de65eb969a5204bb8ec82a3b8d42611807c29025c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-06-06T13:12:55Z",
    "title_canon_sha256": "6d206ca040e897ed920a67b34608898e4005da4b9d1086c814590a413b644e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0819",
    "kind": "arxiv",
    "version": 1
  }
}