Pith Number

pith:AOVU6MGA

pith:2017:AOVU6MGAFNY7M2SSENA74XFPQS

not attested not anchored not stored refs pending

Variational characterization of H^p

Honghai Liu

arxiv:1706.01673 v1 · 2017-06-06 · 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{AOVU6MGAFNY7M2SSENA74XFPQS}

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	2026-05-18T00:42:56.301916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ab4f30c02b71f66a522341fe5caf84ba0de02cdba8b765f5e2e7abcab70a9f

Aliases

arxiv: 1706.01673 · arxiv_version: 1706.01673v1 · doi: 10.48550/arxiv.1706.01673 · pith_short_12: AOVU6MGAFNY7 · pith_short_16: AOVU6MGAFNY7M2SS · pith_short_8: AOVU6MGA

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/AOVU6MGAFNY7M2SSENA74XFPQS \
  | 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: 03ab4f30c02b71f66a522341fe5caf84ba0de02cdba8b765f5e2e7abcab70a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de902a8c727697dfbad61f640b538e0f2efabf56f8a0c32f3171ae9d01313545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-06T09:38:23Z",
    "title_canon_sha256": "d0084ad6ed8c311f3e18be5b959b2ef4b00d3cd78b955a19a7bdfbea059b4842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01673",
    "kind": "arxiv",
    "version": 1
  }
}