Pith Number

pith:2WH7JZZE

pith:2024:2WH7JZZEPSFFOL4C36IZ4V6FR4

not attested not anchored not stored refs pending

On the three-dimensional shape of a crystal

Aram Karakhanyan, Emanuel Indrei

arxiv:2406.00241 v1 · 2024-06-01 · math.AP · math-ph · math.DG · 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{2WH7JZZEPSFFOL4C36IZ4V6FR4}

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.

Cited by

1 paper in Pith

The one-dimensional equilibrium shape of a crystal

Receipt and verification

First computed	2026-07-05T08:25:59.073497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58ff4e7247c8a572f82df919e57c58f06c03fc57817354627fee3fd2d3458dd

Aliases

arxiv: 2406.00241 · arxiv_version: 2406.00241v1 · doi: 10.48550/arxiv.2406.00241 · pith_short_12: 2WH7JZZEPSFF · pith_short_16: 2WH7JZZEPSFFOL4C · pith_short_8: 2WH7JZZE

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/2WH7JZZEPSFFOL4C36IZ4V6FR4 \
  | 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: d58ff4e7247c8a572f82df919e57c58f06c03fc57817354627fee3fd2d3458dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3df9bf3663ca23dd65f423b7b42cf61a1b98e2c8bae6ca520a2143a725cffec",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-01T00:15:58Z",
    "title_canon_sha256": "15ef40c58046b705335147d174ab5efb0976cc703f279813a5e232db34ddc9dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.00241",
    "kind": "arxiv",
    "version": 1
  }
}