Pith Number

pith:3DOV3UOI

pith:2015:3DOV3UOIB645PCC4JUWBE2AJQ6

not attested not anchored not stored refs pending

A note on 2D focusing many-boson systems

Mathieu Lewin (CEREMADE), Nicolas Rougerie (LPMMC), Phan Th\`anh Nam (IST Austria)

arxiv:1509.09045 v2 · 2015-09-30 · math-ph · cond-mat.quant-gas · math.AP · 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{3DOV3UOIB645PCC4JUWBE2AJQ6}

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	2026-05-18T01:29:31.234580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8dd5dd1c80fb9d7885c4d2c126809879a97a09ee18f83514f02d83c9ba6b02b

Aliases

arxiv: 1509.09045 · arxiv_version: 1509.09045v2 · doi: 10.48550/arxiv.1509.09045 · pith_short_12: 3DOV3UOIB645 · pith_short_16: 3DOV3UOIB645PCC4 · pith_short_8: 3DOV3UOI

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/3DOV3UOIB645PCC4JUWBE2AJQ6 \
  | 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: d8dd5dd1c80fb9d7885c4d2c126809879a97a09ee18f83514f02d83c9ba6b02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bcdde4d53cb66292418c350456a42575edc01e2efd211d76a8a97db400efda1",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-30T07:51:18Z",
    "title_canon_sha256": "6dbaab37ecd3aaf0ad4a6357758b29c91e9c41b846adb7edf38ad9ce929ae349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09045",
    "kind": "arxiv",
    "version": 2
  }
}