Pith Number

pith:FIXOIWMA

pith:2015:FIXOIWMAGVWMHM7KVVSHQTMENQ

not attested not anchored not stored refs pending

Estimates on the norm of polynomials and applications

Gustavo A. Mu\~noz-Fern\'andez, Gustavo Ara\'ujo, Juan B. Seoane-Sep\'ulveda, Pablo Jim\'enez-Rodr\'iguez

arxiv:1507.01431 v1 · 2015-07-06 · 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{FIXOIWMAGVWMHM7KVVSHQTMENQ}

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	2026-05-18T01:37:16.955362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2ee45980356cc3b3eaad64784d846c2e789c644b12a87e15becabee3e955d0

Aliases

arxiv: 1507.01431 · arxiv_version: 1507.01431v1 · doi: 10.48550/arxiv.1507.01431 · pith_short_12: FIXOIWMAGVWM · pith_short_16: FIXOIWMAGVWMHM7K · pith_short_8: FIXOIWMA

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/FIXOIWMAGVWMHM7KVVSHQTMENQ \
  | 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: 2a2ee45980356cc3b3eaad64784d846c2e789c644b12a87e15becabee3e955d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c05e8e7a5a3d311d2d75bd917af48f4b0b857068950dfc584d16b5a2b2806ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-06T12:59:13Z",
    "title_canon_sha256": "620aebedaed99bbe8af4fb114250009f0863d21548ffd3ea14ed4db4b7aadb2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01431",
    "kind": "arxiv",
    "version": 1
  }
}