Pith Number

pith:DV3UVPIX

pith:2012:DV3UVPIXUOIX4WHNP4GSL4YV6M

not attested not anchored not stored refs pending

Regularity of the extremal solutions associated to elliptic systems

Craig Cowan, Mostafa Fazly

arxiv:1206.2629 v2 · 2012-06-12 · 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{DV3UVPIXUOIX4WHNP4GSL4YV6M}

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	2026-05-18T02:56:04.073501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d774abd17a3917e58ed7f0d25f315f325191be90aa03fecd50155e371ca1132

Aliases

arxiv: 1206.2629 · arxiv_version: 1206.2629v2 · doi: 10.48550/arxiv.1206.2629 · pith_short_12: DV3UVPIXUOIX · pith_short_16: DV3UVPIXUOIX4WHN · pith_short_8: DV3UVPIX

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/DV3UVPIXUOIX4WHNP4GSL4YV6M \
  | 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: 1d774abd17a3917e58ed7f0d25f315f325191be90aa03fecd50155e371ca1132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8236145731ee3a6f8d4ed54b3830809ccee0f811d531a9911c41384721cf5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-12T19:39:53Z",
    "title_canon_sha256": "271951a6b9deb12e93da7c06fb9c74b5cd9b765a2d87d5ae707e900f5d327eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2629",
    "kind": "arxiv",
    "version": 2
  }
}