Pith Number

pith:F5Z2UT3B

pith:2003:F5Z2UT3BA67W7BTVG3WI2CAFH4

not attested not anchored not stored refs pending

Two-Loop Superstrings on Orbifold Compactifications

D.H. Phong, Eric D'Hoker, Kenichiro Aoki

arxiv:hep-th/0312181 v2 · 2003-12-16 · hep-th · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5Z2UT3BA67W7BTVG3WI2CAFH4}

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.

Cited by

1 paper in Pith

Asymmetric orbifolds with vanishing one-loop vacuum energy

Receipt and verification

First computed	2026-07-04T16:41:30.240519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f73aa4f6107bf6f867536ec8d08053f2278abe67bfd0622d10d7ed23fb8e14c

Aliases

arxiv: hep-th/0312181 · arxiv_version: hep-th/0312181v2 · doi: 10.48550/arxiv.hep-th/0312181 · pith_short_12: F5Z2UT3BA67W · pith_short_16: F5Z2UT3BA67W7BTV · pith_short_8: F5Z2UT3B

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/F5Z2UT3BA67W7BTVG3WI2CAFH4 \
  | 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: 2f73aa4f6107bf6f867536ec8d08053f2278abe67bfd0622d10d7ed23fb8e14c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabc1646266a3625aa42ec0ec61e9b7058b7a4cdc407631a79eca19a7ec63636",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-16T10:51:10Z",
    "title_canon_sha256": "48291fe101af9164e99c182a91bd9c481021340c67a1fd9624e0f786e0bdf747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312181",
    "kind": "arxiv",
    "version": 2
  }
}