Pith Number

pith:YPM7U5RP

pith:2019:YPM7U5RPDPERA4CBCRGVY7MQV3

not attested not anchored not stored refs pending

Duality of gauges and symplectic forms in vector spaces

Horst Martini, Ralph Teixeira, Vitor Balestro

arxiv:1901.03421 v1 · 2019-01-10 · math.MG · math.FA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPM7U5RPDPERA4CBCRGVY7MQV3}

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	2026-05-17T23:56:31.269198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d9fa762f1bc9107041144d5c7d90aef3e11b9749c024309078424521bd0015

Aliases

arxiv: 1901.03421 · arxiv_version: 1901.03421v1 · doi: 10.48550/arxiv.1901.03421 · pith_short_12: YPM7U5RPDPER · pith_short_16: YPM7U5RPDPERA4CB · pith_short_8: YPM7U5RP

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/YPM7U5RPDPERA4CBCRGVY7MQV3 \
  | 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: c3d9fa762f1bc9107041144d5c7d90aef3e11b9749c024309078424521bd0015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a98c039d5b950091616f1002c9839db9697f28a1c9d6bfd0ea0865c1e049f3",
    "cross_cats_sorted": [
      "math.FA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-01-10T22:37:50Z",
    "title_canon_sha256": "290da68dd7114bb323b23d17dae262bfb64d97111f256c6560d3e3cf10313a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03421",
    "kind": "arxiv",
    "version": 1
  }
}