Pith Number

pith:4UJ7RIYI

pith:2012:4UJ7RIYITVLZZHZ3BE3KDO5OLO

not attested not anchored not stored refs pending

Note on an integral expression for the average lifetime of the bound state in 2D

Martin Meier-Schellersheim, Thorsten Prustel

arxiv:1210.1265 v1 · 2012-10-04 · 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{4UJ7RIYITVLZZHZ3BE3KDO5OLO}

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	2026-05-18T03:44:04.960689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e513f8a3089d579c9f3b0936a1bbae5babc8c092f18c536c7d73b65f9c3ac53c

Aliases

arxiv: 1210.1265 · arxiv_version: 1210.1265v1 · doi: 10.48550/arxiv.1210.1265 · pith_short_12: 4UJ7RIYITVLZ · pith_short_16: 4UJ7RIYITVLZZHZ3 · pith_short_8: 4UJ7RIYI

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/4UJ7RIYITVLZZHZ3BE3KDO5OLO \
  | 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: e513f8a3089d579c9f3b0936a1bbae5babc8c092f18c536c7d73b65f9c3ac53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c76cfb95a31b8aa46c9fd3df94430e18b58ca3cd550286156064dc8b264cf3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-04T00:02:33Z",
    "title_canon_sha256": "13f3cb5031ee9a690c8a2d4f6b275e960da70aff581ed4448a4933ffbd51a853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1265",
    "kind": "arxiv",
    "version": 1
  }
}