Pith Number

pith:3HHX47UK

pith:2016:3HHX47UKIDRA2GS5LTIOPEVXC4

not attested not anchored not stored refs pending

Crystallization in two dimensions and a discrete Gauss-Bonnet theorem

Gero Friesecke, Lucia De Luca

arxiv:1605.00034 v1 · 2016-04-29 · math.DG · math-ph · math.MP · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HHX47UKIDRA2GS5LTIOPEVXC4}

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	2026-05-18T00:39:02.902046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9cf7e7e8a40e20d1a5d5cd0e792b7173482216f963a65fd51b4eab52cc5ebf1

Aliases

arxiv: 1605.00034 · arxiv_version: 1605.00034v1 · doi: 10.48550/arxiv.1605.00034 · pith_short_12: 3HHX47UKIDRA · pith_short_16: 3HHX47UKIDRA2GS5 · pith_short_8: 3HHX47UK

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/3HHX47UKIDRA2GS5LTIOPEVXC4 \
  | 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: d9cf7e7e8a40e20d1a5d5cd0e792b7173482216f963a65fd51b4eab52cc5ebf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef67a7fef3e5fde2ca114be7bf62fd3db05aa50308748920b958902508940747",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-29T22:01:02Z",
    "title_canon_sha256": "273db5ce5942eddacf7879b2aaef5c7db767e3f95c6fa8062d0c4ff6a0785eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00034",
    "kind": "arxiv",
    "version": 1
  }
}