Pith Number

pith:7JPRB23J

pith:2011:7JPRB23JPCMKNVD2GF36DTO3YW

not attested not anchored not stored refs pending

Subelliptic biharmonic maps

Sorin Dragomir, Stefano Montaldo

arxiv:1109.6523 v1 · 2011-09-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JPRB23JPCMKNVD2GF36DTO3YW}

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	2026-05-18T04:12:01.391048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5f10eb697898a6d47a3177e1cddbc58d3cf17d6d737a9a5c9dde595d927782

Aliases

arxiv: 1109.6523 · arxiv_version: 1109.6523v1 · doi: 10.48550/arxiv.1109.6523 · pith_short_12: 7JPRB23JPCMK · pith_short_16: 7JPRB23JPCMKNVD2 · pith_short_8: 7JPRB23J

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/7JPRB23JPCMKNVD2GF36DTO3YW \
  | 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: fa5f10eb697898a6d47a3177e1cddbc58d3cf17d6d737a9a5c9dde595d927782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798172ff9b9177e936dfdc7eab86a1afe58aa723439d2e0a41183401b1c559f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-29T13:32:57Z",
    "title_canon_sha256": "44d01f7df3082fb5e675a89c65bc2c3a85d2a78b674a9ae1cfd92c17315247cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6523",
    "kind": "arxiv",
    "version": 1
  }
}