Pith Number

pith:HGGTVVMD

pith:2019:HGGTVVMDI4INNWY76FUWQDRJ3M

not attested not anchored not stored refs pending

The Bourguignon Laplacian and harmonic symmetric bilinear forms

Irina Tsyganok, Sergey Stepanov, Vladimir Rovenski

arxiv:1908.02024 v1 · 2019-08-06 · 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{HGGTVVMDI4INNWY76FUWQDRJ3M}

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	2026-07-04T23:51:50.205559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398d3ad5834710d6db1ff169680e29db070d759cfae1bb9791da207e3e738487

Aliases

arxiv: 1908.02024 · arxiv_version: 1908.02024v1 · doi: 10.48550/arxiv.1908.02024 · pith_short_12: HGGTVVMDI4IN · pith_short_16: HGGTVVMDI4INNWY7 · pith_short_8: HGGTVVMD

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/HGGTVVMDI4INNWY76FUWQDRJ3M \
  | 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: 398d3ad5834710d6db1ff169680e29db070d759cfae1bb9791da207e3e738487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729695b413b2483c5de04c54678b553889cf58fe13275c11400063eeb71c3a5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-06T08:57:45Z",
    "title_canon_sha256": "805d19c292b1b469704b18819fe7f0b855a8b72e73ed7d8aa0921dba9cf14a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02024",
    "kind": "arxiv",
    "version": 1
  }
}