Pith Number

pith:H27FSH4P

pith:2010:H27FSH4PXST3ROMUG2DCQ6WZYL

not attested not anchored not stored refs pending

Canonical Models For Bi-Isometries

Ciprian Foias, Hari Bercovici, Ronald G. Douglas

arxiv:1012.0942 v1 · 2010-12-04 · 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{H27FSH4PXST3ROMUG2DCQ6WZYL}

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	2026-05-18T04:34:08.372008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebe591f8fbca7b8b9943686287ad9c2dc752532c28bc42bea67e0e53075fd7e

Aliases

arxiv: 1012.0942 · arxiv_version: 1012.0942v1 · doi: 10.48550/arxiv.1012.0942 · pith_short_12: H27FSH4PXST3 · pith_short_16: H27FSH4PXST3ROMU · pith_short_8: H27FSH4P

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/H27FSH4PXST3ROMUG2DCQ6WZYL \
  | 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: 3ebe591f8fbca7b8b9943686287ad9c2dc752532c28bc42bea67e0e53075fd7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe671557a3d74b6dbe4a550fec806e0737bda7de094acdf4401797c2f114ef26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-04T19:42:25Z",
    "title_canon_sha256": "318a03b69ea5316ee26d6fe72d1f8f43316d32b9d66f6b380bf2e8007dcd8792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0942",
    "kind": "arxiv",
    "version": 1
  }
}