Pith Number

pith:OM7SPFXR

pith:2015:OM7SPFXRBOOOVUIEMY5CRXLL2X

not attested not anchored not stored refs pending

The Family Problem: Hints from Heterotic Line Bundle Models

Andrei Constantin, Andre Lukas, Challenger Mishra

arxiv:1509.02729 v1 · 2015-09-09 · 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{OM7SPFXRBOOOVUIEMY5CRXLL2X}

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	2026-05-18T00:59:59.063415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733f2796f10b9cead104663a28dd6bd5f91187f7a78f8974ec88168917be9671

Aliases

arxiv: 1509.02729 · arxiv_version: 1509.02729v1 · doi: 10.48550/arxiv.1509.02729 · pith_short_12: OM7SPFXRBOOO · pith_short_16: OM7SPFXRBOOOVUIE · pith_short_8: OM7SPFXR

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/OM7SPFXRBOOOVUIEMY5CRXLL2X \
  | 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: 733f2796f10b9cead104663a28dd6bd5f91187f7a78f8974ec88168917be9671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f86441ca46c8ed7771e5530bb72e6aaf5952714d19501bce81a0ab5a812db4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-09T11:33:34Z",
    "title_canon_sha256": "7216b3b51a363b8c6f7ee5b8fc43afe7d3de1d0e00ea129e00d1e7142060acd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02729",
    "kind": "arxiv",
    "version": 1
  }
}