Pith Number

pith:LXASRGWK

pith:2002:LXASRGWKADVEZ342UPKQOJQVF2

not attested not anchored not stored refs pending

Lectures on Two-Loop Superstrings

D.H. Phong, Eric D'Hoker

arxiv:hep-th/0211111 v1 · 2002-11-12 · 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{LXASRGWKADVEZ342UPKQOJQVF2}

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

Higher-genus multiple zeta values

Receipt and verification

First computed	2026-07-04T15:06:25.655822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc1289aca00ea4cef9aa3d50726152eb79fb15feea744a051d489b3d4f92a8b

Aliases

arxiv: hep-th/0211111 · arxiv_version: hep-th/0211111v1 · doi: 10.48550/arxiv.hep-th/0211111 · pith_short_12: LXASRGWKADVE · pith_short_16: LXASRGWKADVEZ342 · pith_short_8: LXASRGWK

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/LXASRGWKADVEZ342UPKQOJQVF2 \
  | 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: 5dc1289aca00ea4cef9aa3d50726152eb79fb15feea744a051d489b3d4f92a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4470653ac848895c7ea4895800ff4a097682c2b6ab1fad208bfec5b0a92ad5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-12T23:51:24Z",
    "title_canon_sha256": "3cdd253d92635ba5cc75895f1cd80edcf0cd60bbe1e092e54b7aba3b44041398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211111",
    "kind": "arxiv",
    "version": 1
  }
}