Pith Number

pith:KHFV6XVF

pith:2015:KHFV6XVFTIMH4SVS7BEOVWIPXK

not attested not anchored not stored refs pending

Interpolation and embeddings of weighted tent spaces

Alex Amenta

arxiv:1509.05699 v3 · 2015-09-18 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHFV6XVFTIMH4SVS7BEOVWIPXK}

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	2026-05-18T00:54:41.371043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cb5f5ea59a187e4ab2f848ead90fbab86ba979bab0aea904912941fe01f4d4

Aliases

arxiv: 1509.05699 · arxiv_version: 1509.05699v3 · doi: 10.48550/arxiv.1509.05699 · pith_short_12: KHFV6XVFTIMH · pith_short_16: KHFV6XVFTIMH4SVS · pith_short_8: KHFV6XVF

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/KHFV6XVFTIMH4SVS7BEOVWIPXK \
  | 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: 51cb5f5ea59a187e4ab2f848ead90fbab86ba979bab0aea904912941fe01f4d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e01c54f55930c24d9a758f00ed39d4e784462727ef0e2ba2af433962777c8a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-18T16:54:56Z",
    "title_canon_sha256": "dd85a32b1e5f682f8163f6fbd57660a94a8f09b610b34c927db9d7b57de80da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05699",
    "kind": "arxiv",
    "version": 3
  }
}