Pith Number

pith:2YKX6CG4

pith:2011:2YKX6CG4W2PZO45BUPCEHQDBR3

not attested not anchored not stored refs pending

Thin-film limits of functionals on A-free vector fields

Carolin Kreisbeck, Filip Rindler

arxiv:1105.3848 v3 · 2011-05-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YKX6CG4W2PZO45BUPCEHQDBR3}

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	2026-05-18T02:55:27.944768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6157f08dcb69f9773a1a3c443c0618ec0f78ef5a50880fd1e61763e4af6425f

Aliases

arxiv: 1105.3848 · arxiv_version: 1105.3848v3 · doi: 10.48550/arxiv.1105.3848 · pith_short_12: 2YKX6CG4W2PZ · pith_short_16: 2YKX6CG4W2PZO45B · pith_short_8: 2YKX6CG4

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/2YKX6CG4W2PZO45BUPCEHQDBR3 \
  | 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: d6157f08dcb69f9773a1a3c443c0618ec0f78ef5a50880fd1e61763e4af6425f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e47bcefb5bf2ed3d89aa98e61c7c8daee0ec6f72ad4bde6eebffaef8e34e7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-19T12:05:20Z",
    "title_canon_sha256": "14dec41d4b7331c0841756f25a96d2ab1176267b748e9bd9f2392c1df639b4a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3848",
    "kind": "arxiv",
    "version": 3
  }
}