Pith Number

pith:FTTLDWVK

pith:2016:FTTLDWVKP4K5ZBP2CPJTSUEKLQ

not attested not anchored not stored refs pending

Bosonization and Mirror Symmetry

Gonzalo Torroba, Huajia Wang, Michael Mulligan, Shamit Kachru

arxiv:1608.05077 v1 · 2016-08-17 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTTLDWVKP4K5ZBP2CPJTSUEKLQ}

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	2026-05-18T01:01:53.004058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce6b1daaa7f15dc85fa13d339508a5c051a6e22a9b95e8daa2961194b375ecb

Aliases

arxiv: 1608.05077 · arxiv_version: 1608.05077v1 · doi: 10.48550/arxiv.1608.05077 · pith_short_12: FTTLDWVKP4K5 · pith_short_16: FTTLDWVKP4K5ZBP2 · pith_short_8: FTTLDWVK

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/FTTLDWVKP4K5ZBP2CPJTSUEKLQ \
  | 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: 2ce6b1daaa7f15dc85fa13d339508a5c051a6e22a9b95e8daa2961194b375ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "786ebddfdfefa583d72a76afd43c157f0824d8889eac4d1d7dbdc050e5c1c82f",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-17T20:00:02Z",
    "title_canon_sha256": "88b539fc57cd8a9e11e34fa542e1565dd766859ccb90f70077f8b51cb01e030a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05077",
    "kind": "arxiv",
    "version": 1
  }
}