Pith Number

pith:ECC2EFHE

pith:2004:ECC2EFHE3MIO52PZSM3ONRFBSN

not attested not anchored not stored refs pending

Vortex Strings and Four-Dimensional Gauge Dynamics

Amihay Hanany, David Tong

arxiv:hep-th/0403158 v3 · 2004-03-15 · 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{ECC2EFHE3MIO52PZSM3ONRFBSN}

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

2 papers in Pith

Universalities of Defects in Quantum Field Theories

Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole

Receipt and verification

First computed	2026-07-04T16:48:44.055926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2085a214e4db10eee9f99336e6c4a1934db5380e6c427baba85f7379fc3f17ee

Aliases

arxiv: hep-th/0403158 · arxiv_version: hep-th/0403158v3 · doi: 10.48550/arxiv.hep-th/0403158 · pith_short_12: ECC2EFHE3MIO · pith_short_16: ECC2EFHE3MIO52PZ · pith_short_8: ECC2EFHE

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/ECC2EFHE3MIO52PZSM3ONRFBSN \
  | 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: 2085a214e4db10eee9f99336e6c4a1934db5380e6c427baba85f7379fc3f17ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710190d5c5af9578a1cbf5d5ca1f4ea5990785b185c17bdf4b3ab5dc79c861b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-03-15T20:56:21Z",
    "title_canon_sha256": "d0588f746c40230b71b8437407dee740068192517dbd1e834e23358ea9f1b2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0403158",
    "kind": "arxiv",
    "version": 3
  }
}