Pith Number

pith:NBD7M76P

pith:2016:NBD7M76P45OH3YORGC44ZNYDPJ

not attested not anchored not stored refs pending

Redundant Representation of Operators

Georg Rieckh, Peter Balazs

arxiv:1612.06130 v1 · 2016-12-19 · 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{NBD7M76P45OH3YORGC44ZNYDPJ}

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	2026-05-18T00:54:45.865750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6847f67fcfe75c7de1d130b9ccb7037a7f825968fb79833ce0b2341b2fa86781

Aliases

arxiv: 1612.06130 · arxiv_version: 1612.06130v1 · doi: 10.48550/arxiv.1612.06130 · pith_short_12: NBD7M76P45OH · pith_short_16: NBD7M76P45OH3YOR · pith_short_8: NBD7M76P

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/NBD7M76P45OH3YORGC44ZNYDPJ \
  | 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: 6847f67fcfe75c7de1d130b9ccb7037a7f825968fb79833ce0b2341b2fa86781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b463acf11b632374ed8204bb7c776768d78d0dab25e43bb96a6d439fe96418a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-19T11:31:50Z",
    "title_canon_sha256": "3b68f0249e6cf788435b61993db40ed5d991fb568cdaa8f99922e6c1db90737f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06130",
    "kind": "arxiv",
    "version": 1
  }
}