Pith Number

pith:R7AZJZNP

pith:2012:R7AZJZNPOCGI4H2NXNZ47KZUPA

not attested not anchored not stored refs pending

Conditional Analysis on R^d

Michael Kupper, Nicolas Vogelpoth, Patrick Cheridito

arxiv:1211.0747 v2 · 2012-11-05 · 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{R7AZJZNPOCGI4H2NXNZ47KZUPA}

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	2026-05-18T02:39:25.806418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc194e5af708c8e1f4dbb73cfab347801924147c4d05620e4537856b32eb0b2

Aliases

arxiv: 1211.0747 · arxiv_version: 1211.0747v2 · doi: 10.48550/arxiv.1211.0747 · pith_short_12: R7AZJZNPOCGI · pith_short_16: R7AZJZNPOCGI4H2N · pith_short_8: R7AZJZNP

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/R7AZJZNPOCGI4H2NXNZ47KZUPA \
  | 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: 8fc194e5af708c8e1f4dbb73cfab347801924147c4d05620e4537856b32eb0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0cc414804a1a53f2eff1fa994f268413bf97c2ae9cd0cdbeed1efedea9f5c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-05T02:34:07Z",
    "title_canon_sha256": "51acfc1ce1cb716ac64fae09b9a13f9e5cacaa58f2f0528036e2a84bdbcdfcd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0747",
    "kind": "arxiv",
    "version": 2
  }
}