Pith Number

pith:ZPKGDE2Y

pith:2024:ZPKGDE2YSUA7ZGG3DM3LGABQ7I

not attested not anchored not stored refs pending

Self-repellent Brownian Bridges in an Interacting Bose Gas

Chiranjib Mukherjee, Erwin Bolthausen, Wolfgang Koenig

arxiv:2405.08753 v2 · 2024-05-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPKGDE2YSUA7ZGG3DM3LGABQ7I}

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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.

Cited by

1 paper in Pith

The free energy of the interacting Bose gas: a variational description with loops and interlacements

Receipt and verification

First computed	2026-07-05T12:04:12.756797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd46193589501fc98db1b36b30030fa3f91796283ef0a384ceea8a3de4c19d0

Aliases

arxiv: 2405.08753 · arxiv_version: 2405.08753v2 · doi: 10.48550/arxiv.2405.08753 · pith_short_12: ZPKGDE2YSUA7 · pith_short_16: ZPKGDE2YSUA7ZGG3 · pith_short_8: ZPKGDE2Y

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/ZPKGDE2YSUA7ZGG3DM3LGABQ7I \
  | 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: cbd46193589501fc98db1b36b30030fa3f91796283ef0a384ceea8a3de4c19d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8fb42631d986a48c977b5f9d9de31543dafa58191f7c4adb72245277561037",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-05-14T16:39:19Z",
    "title_canon_sha256": "fbe602d097ecaf76bde3350f96beb13a3ed6ef1da4b5c0d485462a9e2def416e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08753",
    "kind": "arxiv",
    "version": 2
  }
}