Pith Number

pith:NTBW4CZV

pith:2010:NTBW4CZVIVZ3XAIHDYABXRVZ6D

not attested not anchored not stored refs pending

Auto-tuning unit norm frames

Dustin G. Mixon, Matthew Fickus, Peter G. Casazza

arxiv:1009.5562 v1 · 2010-09-28 · 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{NTBW4CZVIVZ3XAIHDYABXRVZ6D}

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	2026-05-18T04:40:09.826887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc36e0b354573bb81071e001bc6b9f0e41305db85dd707bf0ce986abae630e2

Aliases

arxiv: 1009.5562 · arxiv_version: 1009.5562v1 · doi: 10.48550/arxiv.1009.5562 · pith_short_12: NTBW4CZVIVZ3 · pith_short_16: NTBW4CZVIVZ3XAIH · pith_short_8: NTBW4CZV

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/NTBW4CZVIVZ3XAIHDYABXRVZ6D \
  | 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: 6cc36e0b354573bb81071e001bc6b9f0e41305db85dd707bf0ce986abae630e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c582a001bca959152251567afc8d72cf665f43a8092526aaa7b2b02bdaae5d83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-28T13:28:22Z",
    "title_canon_sha256": "cef2e300b2d2312d13deb07acd61d384ecbca828b45f86f4ad63e2faf0b20839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5562",
    "kind": "arxiv",
    "version": 1
  }
}