Pith Number

pith:VJ7LGKLC

pith:2015:VJ7LGKLCDPNJA5NRSIOTAAVV6H

not attested not anchored not stored refs pending

Wilson Loop diagrams and Positroids

Eloi Marin Amat, Susama Agarwala

arxiv:1509.06150 v1 · 2015-09-21 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJ7LGKLCDPNJA5NRSIOTAAVV6H}

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	2026-05-18T01:10:52.388004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7eb329621bda9075b1921d3002b5f1d2c08a684ecd95470a4876460fa44979

Aliases

arxiv: 1509.06150 · arxiv_version: 1509.06150v1 · doi: 10.48550/arxiv.1509.06150 · pith_short_12: VJ7LGKLCDPNJ · pith_short_16: VJ7LGKLCDPNJA5NR · pith_short_8: VJ7LGKLC

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/VJ7LGKLCDPNJA5NRSIOTAAVV6H \
  | 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: aa7eb329621bda9075b1921d3002b5f1d2c08a684ecd95470a4876460fa44979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e90ac70eeb0f3c1f9ef9c6329e009da8ea8616853a6c7749fe30a86c92a878",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-21T08:51:46Z",
    "title_canon_sha256": "cb7136de1ef5e8fe8f69d0d2f80aef155aa840ce7614dfd336fb5b546f5a5469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06150",
    "kind": "arxiv",
    "version": 1
  }
}