Pith Number

pith:FQU7FTWQ

pith:1998:FQU7FTWQJXYKFXVOJIJ7INA4FF

not attested not anchored not stored refs pending

Tensor product in symmetric function spaces

S.V. Astashkin

arxiv:math/9812155 v1 · 1998-12-29 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQU7FTWQJXYKFXVOJIJ7INA4FF}

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	2026-07-04T14:40:55.096821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c29f2ced04df0a2deae4a13f4341c294c089f7be9857ef0070a9da12bd5fee2

Aliases

arxiv: math/9812155 · arxiv_version: math/9812155v1 · doi: 10.48550/arxiv.math/9812155 · pith_short_12: FQU7FTWQJXYK · pith_short_16: FQU7FTWQJXYKFXVO · pith_short_8: FQU7FTWQ

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/FQU7FTWQJXYKFXVOJIJ7INA4FF \
  | 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: 2c29f2ced04df0a2deae4a13f4341c294c089f7be9857ef0070a9da12bd5fee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581fdbc6276f4fec9d2bc13d1d284bd51466783392422dfec636b2bf2507a729",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1998-12-29T11:52:50Z",
    "title_canon_sha256": "63a66c89931cdf77a0a5751acac43570a33697e8a3a7412011a53b5567869a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812155",
    "kind": "arxiv",
    "version": 1
  }
}