Pith Number

pith:64GWWKMH

pith:2016:64GWWKMHB3RR56YDQTLRIHQ333

not attested not anchored not stored refs pending

Approximation by partial isometries and symmetric approximation of finite frames

Eduardo Chiumiento, Jorge Antezana

arxiv:1611.01543 v1 · 2016-11-04 · 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{64GWWKMHB3RR56YDQTLRIHQ333}

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	2026-05-18T01:00:05.062466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70d6b29870ee31efb0384d7141e1bdecffc22654124786f56e8d1207ce55fc7

Aliases

arxiv: 1611.01543 · arxiv_version: 1611.01543v1 · doi: 10.48550/arxiv.1611.01543 · pith_short_12: 64GWWKMHB3RR · pith_short_16: 64GWWKMHB3RR56YD · pith_short_8: 64GWWKMH

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/64GWWKMHB3RR56YDQTLRIHQ333 \
  | 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: f70d6b29870ee31efb0384d7141e1bdecffc22654124786f56e8d1207ce55fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5770a50bde7838def755964044a8c30edf64b4f907343a779aebf92f0240e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-04T21:23:23Z",
    "title_canon_sha256": "1dd29666e0ec05b6a45e76c5e2d1df7abb405b71239ba491976c693b98adad52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01543",
    "kind": "arxiv",
    "version": 1
  }
}