Pith Number

pith:ULQACGC2

pith:2014:ULQACGC2F52QXOA7VN2NZCFN5Z

not attested not anchored not stored refs pending

Dimensional estimates for singular sets in geometric variational problems with free boundaries

Francesco Maggi, Guido De Philippis

arxiv:1407.4834 v2 · 2014-07-17 · 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{ULQACGC2F52QXOA7VN2NZCFN5Z}

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	2026-05-18T02:46:15.652134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e001185a2f750bb81fab74dc88adee71d43949084e1d530f7feb33b8e80ce2

Aliases

arxiv: 1407.4834 · arxiv_version: 1407.4834v2 · doi: 10.48550/arxiv.1407.4834 · pith_short_12: ULQACGC2F52Q · pith_short_16: ULQACGC2F52QXOA7 · pith_short_8: ULQACGC2

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/ULQACGC2F52QXOA7VN2NZCFN5Z \
  | 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: a2e001185a2f750bb81fab74dc88adee71d43949084e1d530f7feb33b8e80ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44515891c4d5efeebe5931befeba542aa29178048fb8e9d49b9bb30816a9faac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-17T20:38:11Z",
    "title_canon_sha256": "61b5c4ede16bcfb72de88f879c21862fac32d0f231c715b78c648dc0e8789a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4834",
    "kind": "arxiv",
    "version": 2
  }
}