Pith Number

pith:WG5BHTEP

pith:2024:WG5BHTEPBEXPJSVDEOSYNYXSRD

not attested not anchored not stored refs pending

Loop torsors and Abhyankar's lemma

AGL, IMAR), Philippe Gille (ICJ

arxiv:2406.16435 v5 · 2024-06-24 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG5BHTEPBEXPJSVDEOSYNYXSRD}

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	2026-05-27T02:05:00.440156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ba13cc8f092ef4caa323a586e2f288fc17e7940d3aaa067ba07df372506fb5

Aliases

arxiv: 2406.16435 · arxiv_version: 2406.16435v5 · doi: 10.48550/arxiv.2406.16435 · pith_short_12: WG5BHTEPBEXP · pith_short_16: WG5BHTEPBEXPJSVD · pith_short_8: WG5BHTEP

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/WG5BHTEPBEXPJSVDEOSYNYXSRD \
  | 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: b1ba13cc8f092ef4caa323a586e2f288fc17e7940d3aaa067ba07df372506fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a40994bf40755cc36565049600e52c328ea75a0cc22346ce2b3794bd2294a5d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-24T08:28:14Z",
    "title_canon_sha256": "ef8de5fbc5253043fe7fb2d7d23f9d02f3c44907b02a166f7783e03e65b83f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16435",
    "kind": "arxiv",
    "version": 5
  }
}