Pith Number

pith:IVW44WTQ

pith:2015:IVW44WTQ6KGQCDDJPEYQBOVZOF

not attested not anchored not stored refs pending

Minimizers of higher order gauge invariant functionals

Andreas Gastel, Christoph Scheven

arxiv:1501.02089 v1 · 2015-01-09 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVW44WTQ6KGQCDDJPEYQBOVZOF}

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	2026-05-18T02:29:44.878012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456dce5a70f28d010c69793100bab9717744958c64e292df9e08b01f452f7ba2

Aliases

arxiv: 1501.02089 · arxiv_version: 1501.02089v1 · doi: 10.48550/arxiv.1501.02089 · pith_short_12: IVW44WTQ6KGQ · pith_short_16: IVW44WTQ6KGQCDDJ · pith_short_8: IVW44WTQ

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/IVW44WTQ6KGQCDDJPEYQBOVZOF \
  | 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: 456dce5a70f28d010c69793100bab9717744958c64e292df9e08b01f452f7ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3058ad8acb53760c817bfcc07e6085780357c909e2d654b28450bd89a8e4fdc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-09T10:12:26Z",
    "title_canon_sha256": "2d7a40d0d5636ec34d8b482ac03c005ccfa016085c4a813d615ca815d75c202e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02089",
    "kind": "arxiv",
    "version": 1
  }
}