Pith Number

pith:KTWBSPJH

pith:2013:KTWBSPJHSJGDRGV74CMFAKMFGG

not attested not anchored not stored refs pending

Energy Estimates for Low Regularity Bilinear Schr\"odinger Equations

INRIA Nancy - Grand Est / IECN / LMAM), Marco Caponigro (CNAM Paris), Nabile Boussaid (LM-Besan\c{c}on), Thomas Chambrion (IECL

arxiv:1302.0813 v2 · 2013-02-04 · 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{KTWBSPJHSJGDRGV74CMFAKMFGG}

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	2026-05-18T03:34:15.702291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ec193d27924c389abfe0985029853190477dbcbd733a9bded404e2678df907

Aliases

arxiv: 1302.0813 · arxiv_version: 1302.0813v2 · doi: 10.48550/arxiv.1302.0813 · pith_short_12: KTWBSPJHSJGD · pith_short_16: KTWBSPJHSJGDRGV7 · pith_short_8: KTWBSPJH

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/KTWBSPJHSJGDRGV74CMFAKMFGG \
  | 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: 54ec193d27924c389abfe0985029853190477dbcbd733a9bded404e2678df907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166944885f496cf38c67eccee7eb5b7b01bf12ad27163f107d55e6afee276469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-04T19:43:48Z",
    "title_canon_sha256": "2c83310e4ce397d9b219c2121c2311bd1ed631eae4c3527568af4dcb2a39ded9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0813",
    "kind": "arxiv",
    "version": 2
  }
}