Pith Number

pith:5K6J2AOT

pith:2011:5K6J2AOTMWOLAVOLVI5A7RUPPY

not attested not anchored not stored refs pending

Change of angle in tent spaces

Pascal Auscher (LM-Orsay)

arxiv:1101.3967 v1 · 2011-01-20 · 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{5K6J2AOTMWOLAVOLVI5A7RUPPY}

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	2026-05-18T04:31:20.740976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eabc9d01d3659cb055cbaa3a0fc68f7e3197ce1fe642656eb12628f77f564215

Aliases

arxiv: 1101.3967 · arxiv_version: 1101.3967v1 · doi: 10.48550/arxiv.1101.3967 · pith_short_12: 5K6J2AOTMWOL · pith_short_16: 5K6J2AOTMWOLAVOL · pith_short_8: 5K6J2AOT

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/5K6J2AOTMWOLAVOLVI5A7RUPPY \
  | 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: eabc9d01d3659cb055cbaa3a0fc68f7e3197ce1fe642656eb12628f77f564215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d3dee27d884cb31d7e620880ed5f469ec10500b825c54d79ec3b2ea41faec8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-20T16:56:11Z",
    "title_canon_sha256": "b296e0ac64e2ca150e9820e4fbebd009a07f11d8db9652b9acb4744b7a688fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3967",
    "kind": "arxiv",
    "version": 1
  }
}