Pith Number

pith:WTKWNIGW

pith:2011:WTKWNIGWVPLHRLBVBF5ESFNTM5

not attested not anchored not stored refs pending

Interaction of coherent states for Hartree equations

R\'emi Carles (I3M)

arxiv:1104.0781 v3 · 2011-04-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTKWNIGWVPLHRLBVBF5ESFNTM5}

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	2026-05-18T03:55:35.687172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d566a0d6abd678ac35097a4915b36762f154ec412d4c4f55d0e184fb405af7

Aliases

arxiv: 1104.0781 · arxiv_version: 1104.0781v3 · doi: 10.48550/arxiv.1104.0781 · pith_short_12: WTKWNIGWVPLH · pith_short_16: WTKWNIGWVPLHRLBV · pith_short_8: WTKWNIGW

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/WTKWNIGWVPLHRLBVBF5ESFNTM5 \
  | 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: b4d566a0d6abd678ac35097a4915b36762f154ec412d4c4f55d0e184fb405af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2985e756dd82b0f79b86d74f366e3dd3b34632d26766485738501f654c2455",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-05T09:17:20Z",
    "title_canon_sha256": "da1b9f24aeb247009c5c3051a58cd08fa2656e5502307f5e0f3feb20c3a391a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0781",
    "kind": "arxiv",
    "version": 3
  }
}