Pith Number

pith:G5U3E4UT

pith:2015:G5U3E4UTE26FA2LDYBAKQ4WPME

not attested not anchored not stored refs pending

Varieties of Abelian mirror symmetry on $\mathbb{RP}^2 \times \mathbb{S}^1$

Akinori Tanaka, Hironori Mori

arxiv:1512.02835 v3 · 2015-12-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5U3E4UTE26FA2LDYBAKQ4WPME}

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	2026-05-18T01:13:23.833343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3769b2729326bc506963c040a872cf613263c248f62eb5c436894d3a8126b30b

Aliases

arxiv: 1512.02835 · arxiv_version: 1512.02835v3 · doi: 10.48550/arxiv.1512.02835 · pith_short_12: G5U3E4UTE26F · pith_short_16: G5U3E4UTE26FA2LD · pith_short_8: G5U3E4UT

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/G5U3E4UTE26FA2LDYBAKQ4WPME \
  | 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: 3769b2729326bc506963c040a872cf613263c248f62eb5c436894d3a8126b30b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5074162cf80cc7581b3ee1818d45c9f2d9f8ae83796f4c609380671271517f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-09T12:34:29Z",
    "title_canon_sha256": "51cfb7af87cd2f2b67fef7eaf4d87add704bf954fa2b922aaadcd94a88ba7926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02835",
    "kind": "arxiv",
    "version": 3
  }
}