Pith Number

pith:6TFRXWVH

pith:2016:6TFRXWVHU5CDZGPV5TUMSETYTP

not attested not anchored not stored refs pending

Multiple Fibrations in Calabi-Yau Geometry and String Dualities

James Gray, Lara B. Anderson, Seung-Joo Lee, Xin Gao

arxiv:1608.07555 v1 · 2016-08-26 · 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{6TFRXWVHU5CDZGPV5TUMSETYTP}

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	2026-05-18T00:57:26.312983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cb1bdaa7a7443c99f5ece8c912789befa20b1fd27b01e5f358f4ac25ff1a3b

Aliases

arxiv: 1608.07555 · arxiv_version: 1608.07555v1 · doi: 10.48550/arxiv.1608.07555 · pith_short_12: 6TFRXWVHU5CD · pith_short_16: 6TFRXWVHU5CDZGPV · pith_short_8: 6TFRXWVH

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/6TFRXWVHU5CDZGPV5TUMSETYTP \
  | 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: f4cb1bdaa7a7443c99f5ece8c912789befa20b1fd27b01e5f358f4ac25ff1a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f63feba2135f96bc4b4988fdb8b1c5053b119f1d88728d987667cca889d954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-26T18:29:36Z",
    "title_canon_sha256": "bb828f8e825e1cc7d3cb9badb4f2b2eb4aaa371c1e2854d37b7adcd72b786d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07555",
    "kind": "arxiv",
    "version": 1
  }
}