Pith Number

pith:G3TS7XKX

pith:2011:G3TS7XKXAOLKR2XVTUHLW2INGK

not attested not anchored not stored refs pending

Asymptotics for Two-dimensional Atoms

Fabian Portmann, Jan Philip Solovej, Phan Thanh Nam

arxiv:1102.4229 v2 · 2011-02-21 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3TS7XKXAOLKR2XVTUHLW2INGK}

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	2026-05-18T04:19:54.571280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e72fdd570396a8eaf59d0ebb690d32919769b5f55aae31e83f20cafc8c5b01

Aliases

arxiv: 1102.4229 · arxiv_version: 1102.4229v2 · doi: 10.48550/arxiv.1102.4229 · pith_short_12: G3TS7XKXAOLK · pith_short_16: G3TS7XKXAOLKR2XV · pith_short_8: G3TS7XKX

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/G3TS7XKXAOLKR2XVTUHLW2INGK \
  | 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: 36e72fdd570396a8eaf59d0ebb690d32919769b5f55aae31e83f20cafc8c5b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6da664174bd8c3a21ff5db7085730f94612ec480a0abed3e550992a8b54200f",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-21T13:58:26Z",
    "title_canon_sha256": "b02e73bb5228a0605581168ab20f231db0b28c515f6727ec77fd7d3d4153ccf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4229",
    "kind": "arxiv",
    "version": 2
  }
}