Pith Number

pith:2BIFQCGH

pith:2017:2BIFQCGHMYE7Z2QH455IFRGU27

not attested not anchored not stored refs pending

Mordell-Weil Torsion, Anomalies, and Phase Transitions

Mboyo Esole, Monica Jinwoo Kang, Shing-Tung Yau

arxiv:1712.02337 v1 · 2017-12-06 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BIFQCGHMYE7Z2QH455IFRGU27}

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	2026-05-18T00:28:38.448478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0505808c76609fcea07e77a82c4d4d7db5b6662823aed4d0186fa9823a63a23

Aliases

arxiv: 1712.02337 · arxiv_version: 1712.02337v1 · doi: 10.48550/arxiv.1712.02337 · pith_short_12: 2BIFQCGHMYE7 · pith_short_16: 2BIFQCGHMYE7Z2QH · pith_short_8: 2BIFQCGH

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/2BIFQCGHMYE7Z2QH455IFRGU27 \
  | 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: d0505808c76609fcea07e77a82c4d4d7db5b6662823aed4d0186fa9823a63a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbab923c2772ca224fb3231463a18bc3a47c86760523dfb140a70c281e57e69",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-06T18:59:47Z",
    "title_canon_sha256": "f104adf169c33ae39b23579f9f98043ade97f958e5226b42106a0cc98fde793b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02337",
    "kind": "arxiv",
    "version": 1
  }
}