Pith Number

pith:QNYK2AE5

pith:2014:QNYK2AE57ZKHG4MASG336OKBWA

not attested not anchored not stored refs pending

Fractional Mirror Symmetry

Dan Israel

arxiv:1409.5771 v1 · 2014-09-19 · 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{QNYK2AE57ZKHG4MASG336OKBWA}

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	2026-05-18T02:42:26.318449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8370ad009dfe5473718091b7bf3941b00f1a45c166df9a4f2f6d909ed208b714

Aliases

arxiv: 1409.5771 · arxiv_version: 1409.5771v1 · doi: 10.48550/arxiv.1409.5771 · pith_short_12: QNYK2AE57ZKH · pith_short_16: QNYK2AE57ZKHG4MA · pith_short_8: QNYK2AE5

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/QNYK2AE57ZKHG4MASG336OKBWA \
  | 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: 8370ad009dfe5473718091b7bf3941b00f1a45c166df9a4f2f6d909ed208b714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9541dcedba00a9f7575ea2c0e7ef68e58e2784549c1a839f6b95f9ef964ae203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-09-19T19:21:10Z",
    "title_canon_sha256": "a81db6045422ba95247d54090d836670e7425e41c44af5057b588908201ab1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5771",
    "kind": "arxiv",
    "version": 1
  }
}