Pith Number

pith:VVCWWPG7

pith:2010:VVCWWPG75OMCR25MKIPPAHHM3R

not attested not anchored not stored refs pending

The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces

Richard Delanghe, Roman Lavicka, Vladimir Soucek

arxiv:1012.4998 v1 · 2010-12-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVCWWPG75OMCR25MKIPPAHHM3R}

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	2026-05-18T04:32:44.704335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad456b3cdfeb9828ebac521ef01cecdc57f7229f7a9f40baceb47a0deb601f4f

Aliases

arxiv: 1012.4998 · arxiv_version: 1012.4998v1 · doi: 10.48550/arxiv.1012.4998 · pith_short_12: VVCWWPG75OMC · pith_short_16: VVCWWPG75OMCR25M · pith_short_8: VVCWWPG7

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/VVCWWPG75OMCR25MKIPPAHHM3R \
  | 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: ad456b3cdfeb9828ebac521ef01cecdc57f7229f7a9f40baceb47a0deb601f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bce91e256fe821edf13cd056f166347d289b4b6d7753c83bba733ae83e5dc09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-22T15:03:50Z",
    "title_canon_sha256": "6fb106b7b5bb58ec1690cc212b3c39260952777b8cfe51633399215cce9c49da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4998",
    "kind": "arxiv",
    "version": 1
  }
}