Pith Number

pith:F6O4O5HF

pith:2014:F6O4O5HF35DTILQ57N6AHTGYW4

not attested not anchored not stored refs pending

Frame potentials and the geometry of frames

Bernhard G. Bodmann, John Haas

arxiv:1407.1663 v1 · 2014-07-07 · 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{F6O4O5HF35DTILQ57N6AHTGYW4}

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	2026-05-18T02:48:10.729482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9dc774e5df47342e1dfb7c03ccd8b71fc9352673cabab832586494dcf77485

Aliases

arxiv: 1407.1663 · arxiv_version: 1407.1663v1 · doi: 10.48550/arxiv.1407.1663 · pith_short_12: F6O4O5HF35DT · pith_short_16: F6O4O5HF35DTILQ5 · pith_short_8: F6O4O5HF

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/F6O4O5HF35DTILQ57N6AHTGYW4 \
  | 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: 2f9dc774e5df47342e1dfb7c03ccd8b71fc9352673cabab832586494dcf77485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3042960900431adfdc0cc98d684bc2fca655537e6203e3b2cc1671f0cd6177c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-07T11:01:56Z",
    "title_canon_sha256": "4ea45c8606fe8a282f3c1be454a7460c64e7d52cf5d27dfc04db83e833904c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1663",
    "kind": "arxiv",
    "version": 1
  }
}