Pith Number

pith:SLMYAMTV

pith:2005:SLMYAMTVEP6TOGCRDVQH4JGCT6

not attested not anchored not stored refs pending

Mirror symmetry in two steps: A-I-B

Andrei Losev, Edward Frenkel

arxiv:hep-th/0505131 v2 · 2005-05-16 · hep-th · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLMYAMTVEP6TOGCRDVQH4JGCT6}

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	2026-05-18T02:35:39.384704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d980327523fd3718511d607e24c29f978774db052b652f41ae74c466c537c8

Aliases

arxiv: hep-th/0505131 · arxiv_version: hep-th/0505131v2 · doi: 10.48550/arxiv.hep-th/0505131 · pith_short_12: SLMYAMTVEP6T · pith_short_16: SLMYAMTVEP6TOGCR · pith_short_8: SLMYAMTV

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/SLMYAMTVEP6TOGCRDVQH4JGCT6 \
  | 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: 92d980327523fd3718511d607e24c29f978774db052b652f41ae74c466c537c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6d19a7d4ca8eb81bb2bdb794eb10c67c9fc2e76d73f0f8e6740a5a0dd45539",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-05-16T05:55:03Z",
    "title_canon_sha256": "73957cb7b2046f5dceefd6b70f33a3ff646b8541aea0952c56f32e3a8f1f5ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0505131",
    "kind": "arxiv",
    "version": 2
  }
}