Pith Number

pith:WEJEVUKU

pith:2013:WEJEVUKUR6NPOCJPE5A22JVDSD

not attested not anchored not stored refs pending

Weak contact equations for mappings into Heisenberg groups

Kevin Wildrick, Piotr Haj{\l}asz, Zolt\'an M. Balogh

arxiv:1308.5074 v2 · 2013-08-23 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEJEVUKUR6NPOCJPE5A22JVDSD}

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	2026-05-18T03:04:22.368766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1124ad1548f9af7092f2741ad26a390ec53226c859abac592b924b7488505c3

Aliases

arxiv: 1308.5074 · arxiv_version: 1308.5074v2 · doi: 10.48550/arxiv.1308.5074 · pith_short_12: WEJEVUKUR6NP · pith_short_16: WEJEVUKUR6NPOCJP · pith_short_8: WEJEVUKU

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/WEJEVUKUR6NPOCJPE5A22JVDSD \
  | 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: b1124ad1548f9af7092f2741ad26a390ec53226c859abac592b924b7488505c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0ac986ccfa77b7b3f045724107592e07ed8acfcad8e03b8c64ae3f4e798e52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-23T09:12:26Z",
    "title_canon_sha256": "aced668f7f78088102a088a1efb36108712e26c24494aaeda6e51b86f5018f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5074",
    "kind": "arxiv",
    "version": 2
  }
}