Pith Number

pith:B3E4BWEQ

pith:2012:B3E4BWEQE5MDU2WJ6CUNVHCVXD

not attested not anchored not stored refs pending

Dynamic entropic repulsion for interacting interfaces

Takao Nishikawa

arxiv:1206.3832 v2 · 2012-06-18 · 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{B3E4BWEQE5MDU2WJ6CUNVHCVXD}

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	2026-05-18T03:53:16.878629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec9c0d89027583a6ac9f0a8da9c55b8c395d8d3cc4dfc298d0b87612c441ca5

Aliases

arxiv: 1206.3832 · arxiv_version: 1206.3832v2 · doi: 10.48550/arxiv.1206.3832 · pith_short_12: B3E4BWEQE5MD · pith_short_16: B3E4BWEQE5MDU2WJ · pith_short_8: B3E4BWEQ

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/B3E4BWEQE5MDU2WJ6CUNVHCVXD \
  | 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: 0ec9c0d89027583a6ac9f0a8da9c55b8c395d8d3cc4dfc298d0b87612c441ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980637f11ccba4f1810099dda847946bad8d97a7c55319a70256c7614eaa0dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-18T05:48:54Z",
    "title_canon_sha256": "b76db3c80949beae7512d67e1b0493ff65a484832786591a60612a0a161c4714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3832",
    "kind": "arxiv",
    "version": 2
  }
}