Pith Number

pith:Y7F5TG3Y

pith:2014:Y7F5TG3Y3FHJKIG72WEMFI6QH7

not attested not anchored not stored refs pending

Quantitative stratification and higher regularity for biharmonic maps

Christine Breiner, Tobias Lamm

arxiv:1410.5640 v2 · 2014-10-21 · math.DG · 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{Y7F5TG3Y3FHJKIG72WEMFI6QH7}

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	2026-05-18T02:20:19.721137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7cbd99b78d94e9520dfd588c2a3d03ff46c46787187a9552a85189402c20693

Aliases

arxiv: 1410.5640 · arxiv_version: 1410.5640v2 · doi: 10.48550/arxiv.1410.5640 · pith_short_12: Y7F5TG3Y3FHJ · pith_short_16: Y7F5TG3Y3FHJKIG7 · pith_short_8: Y7F5TG3Y

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/Y7F5TG3Y3FHJKIG72WEMFI6QH7 \
  | 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: c7cbd99b78d94e9520dfd588c2a3d03ff46c46787187a9552a85189402c20693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf0cf45e2d6a7c26961d0b0927d3940e24eb5ce51f3f26b3ebf650403ab968f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-21T12:49:23Z",
    "title_canon_sha256": "6e1d345fb495fb5de6b44d1b134b6fdfeb0f4af244e120d1fb0ff2b68000a120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5640",
    "kind": "arxiv",
    "version": 2
  }
}