Pith Number

pith:4EAWKWBQ

pith:2019:4EAWKWBQ5Y3EZI47WSAGC44VIZ

not attested not anchored not stored refs pending

Concentration of Small Hawking Type Surfaces

Alexander Friedrich

arxiv:1909.02388 v2 · 2019-09-05 · math.DG · math-ph · math.AP · 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{4EAWKWBQ5Y3EZI47WSAGC44VIZ}

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

Minimizers of Generalized Willmore Functionals

Receipt and verification

First computed	2026-07-05T02:19:24.590809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e101655830ee364ca39fb480617395465e52e55b9fdc63d7b6d28c5c990a5592

Aliases

arxiv: 1909.02388 · arxiv_version: 1909.02388v2 · doi: 10.48550/arxiv.1909.02388 · pith_short_12: 4EAWKWBQ5Y3E · pith_short_16: 4EAWKWBQ5Y3EZI47 · pith_short_8: 4EAWKWBQ

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/4EAWKWBQ5Y3EZI47WSAGC44VIZ \
  | 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: e101655830ee364ca39fb480617395465e52e55b9fdc63d7b6d28c5c990a5592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15284a8c3f4c984ea4aa8bbd85f49a0c0382335e481407f2eb5004e0473a4a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-05T13:23:50Z",
    "title_canon_sha256": "ebf4339f499f62594daed49bc010eb463e09c283036eb13b84851c904e94cdf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02388",
    "kind": "arxiv",
    "version": 2
  }
}