Pith Number

pith:VSGM6LFE

pith:2013:VSGM6LFE2GIQLTYDKAZLPMEABN

not attested not anchored not stored refs pending

On the regularity of critical and minimal sets of a free interface problem

Nicola Fusco, Vesa Julin

arxiv:1309.6810 v3 · 2013-09-26 · 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{VSGM6LFE2GIQLTYDKAZLPMEABN}

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	2026-05-18T02:51:08.382535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8ccf2ca4d19105cf035032b7b0800b52c3fa1da8c8839de189016d6c901244

Aliases

arxiv: 1309.6810 · arxiv_version: 1309.6810v3 · doi: 10.48550/arxiv.1309.6810 · pith_short_12: VSGM6LFE2GIQ · pith_short_16: VSGM6LFE2GIQLTYD · pith_short_8: VSGM6LFE

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/VSGM6LFE2GIQLTYDKAZLPMEABN \
  | 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: ac8ccf2ca4d19105cf035032b7b0800b52c3fa1da8c8839de189016d6c901244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7450184f570d3a13dc0c876bf4468558c331bc734471eb328b4495a0ddd01d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-26T12:14:31Z",
    "title_canon_sha256": "4c62cce2990191857758c4d1b65feec7f9d5d6f81f7b305f63edfb9a1cf216ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6810",
    "kind": "arxiv",
    "version": 3
  }
}