Pith. sign in
Pith Number

pith:AL4G4KAU

pith:2019:AL4G4KAUNQ3T4DQWUWWGDM5ETJ
not attested not anchored not stored refs pending

Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory

Andrew J. McLeod, Cristian Vergu, Jacob L. Bourjaily, Matthias Volk, Matthias Wilhelm, Matt von Hippel

arxiv:1910.14224 v1 · 2019-10-31 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AL4G4KAUNQ3T4DQWUWWGDM5ETJ}

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 2026-07-05T04:50:29.911517Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

02f86e28146c373e0e16a5ac61b3a49a48cd1c9f651a94e036eb10f2cf649c20

Aliases

arxiv: 1910.14224 · arxiv_version: 1910.14224v1 · doi: 10.48550/arxiv.1910.14224 · pith_short_12: AL4G4KAUNQ3T · pith_short_16: AL4G4KAUNQ3T4DQW · pith_short_8: AL4G4KAU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AL4G4KAUNQ3T4DQWUWWGDM5ETJ \
  | 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: 02f86e28146c373e0e16a5ac61b3a49a48cd1c9f651a94e036eb10f2cf649c20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2667129f234978df28503e96bac9cccba0e4c7a59759da66b7d980bcc426b3a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-10-31T02:40:06Z",
    "title_canon_sha256": "c8a9f4536d4bb552fdd9c1d578a423bb3c29a94dc8dbf751cb98ceff366154ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.14224",
    "kind": "arxiv",
    "version": 1
  }
}