Pith Number

pith:TXUHPBQW

pith:2015:TXUHPBQWMFKLF7U5ZDXKISOXJX

not attested not anchored not stored refs pending

On the $L^{r}$ Hodge theory in complete non compact riemannian manifolds

Eric Amar (IMB)

arxiv:1506.08295 v3 · 2015-06-27 · math.CV · 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{TXUHPBQWMFKLF7U5ZDXKISOXJX}

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	2026-05-18T00:37:57.688874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de87786166154b2fe9dc8eea449d74dd693faa9b651aeaf6a1cc0a9202e11c7

Aliases

arxiv: 1506.08295 · arxiv_version: 1506.08295v3 · doi: 10.48550/arxiv.1506.08295 · pith_short_12: TXUHPBQWMFKL · pith_short_16: TXUHPBQWMFKLF7U5 · pith_short_8: TXUHPBQW

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/TXUHPBQWMFKLF7U5ZDXKISOXJX \
  | 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: 9de87786166154b2fe9dc8eea449d74dd693faa9b651aeaf6a1cc0a9202e11c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a720790f7a4853375bb1f0508bdce4d15b4c05324cd3788a3cd760075f03f9f5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-27T14:30:42Z",
    "title_canon_sha256": "ed1b0ccac457e6d2d3dc3b53705d51533d01d0ec1135995a5519f88351d0b817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08295",
    "kind": "arxiv",
    "version": 3
  }
}