Pith Number

pith:M7AGNYMG

pith:2010:M7AGNYMGDJ42QR5U77YPI64ZXM

not attested not anchored not stored refs pending

Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension

Snorre Harald Christiansen

arxiv:1007.1120 v1 · 2010-07-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7AGNYMGDJ42QR5U77YPI64ZXM}

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	2026-05-18T04:19:53.455571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c066e1861a79a847b4fff0f47b99bb154630e799b7540a821cc50cafbeb957

Aliases

arxiv: 1007.1120 · arxiv_version: 1007.1120v1 · doi: 10.48550/arxiv.1007.1120 · pith_short_12: M7AGNYMGDJ42 · pith_short_16: M7AGNYMGDJ42QR5U · pith_short_8: M7AGNYMG

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/M7AGNYMGDJ42QR5U77YPI64ZXM \
  | 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: 67c066e1861a79a847b4fff0f47b99bb154630e799b7540a821cc50cafbeb957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "608b94c392a8e04d15fcbae259d1f6b16faa07f042a0a72c44f9e4f26db6229b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-07-07T12:40:21Z",
    "title_canon_sha256": "f733bff11c29db12a85332a3e419371c9fff75aa8aebf56093a88bded939b09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1120",
    "kind": "arxiv",
    "version": 1
  }
}