Pith Number

pith:KQHN7FH7

pith:2015:KQHN7FH7E6AVNXISS5XMGTQOUG

not attested not anchored not stored refs pending

The raising steps method. Applications to the $\displaystyle L^{r}$ Hodge theory in a compact riemannian manifold

Eric Amar (IMB)

arxiv:1506.00418 v2 · 2015-06-01 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQHN7FH7E6AVNXISS5XMGTQOUG}

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	2026-05-18T00:32:45.055646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540edf94ff278156dd12976ec34e0ea1a8a9d2b424902801a19b0d3e39de353e

Aliases

arxiv: 1506.00418 · arxiv_version: 1506.00418v2 · doi: 10.48550/arxiv.1506.00418 · pith_short_12: KQHN7FH7E6AV · pith_short_16: KQHN7FH7E6AVNXIS · pith_short_8: KQHN7FH7

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/KQHN7FH7E6AVNXISS5XMGTQOUG \
  | 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: 540edf94ff278156dd12976ec34e0ea1a8a9d2b424902801a19b0d3e39de353e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d028e9c40a81b2dffbbb1c6d7a43874592e9eba55c4bd57985b36aed1b3581",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-01T10:09:46Z",
    "title_canon_sha256": "f72dbde6817020c4cf89ed836f0b6760fe5fe12a665eb9033eda549f33e17bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00418",
    "kind": "arxiv",
    "version": 2
  }
}