Pith Number

pith:BYRSA3XO

pith:2002:BYRSA3XOZ6SOXACXNZ3FNYGBTM

not attested not anchored not stored refs pending

What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields?

Kurt Haller

arxiv:hep-th/0201069 v1 · 2002-01-10 · 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{BYRSA3XOZ6SOXACXNZ3FNYGBTM}

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	2026-05-18T00:36:53.801547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e23206eeecfa4eb80576e7656e0c19b232edac1fc62381775b33695c475cdc8

Aliases

arxiv: hep-th/0201069 · arxiv_version: hep-th/0201069v1 · doi: 10.48550/arxiv.hep-th/0201069 · pith_short_12: BYRSA3XOZ6SO · pith_short_16: BYRSA3XOZ6SOXACX · pith_short_8: BYRSA3XO

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/BYRSA3XOZ6SOXACXNZ3FNYGBTM \
  | 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: 0e23206eeecfa4eb80576e7656e0c19b232edac1fc62381775b33695c475cdc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7065eaafc3ff0926e96b28d107ff925d1076f69a9640c8e56d0f328b5cb7eb15",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-01-10T20:29:27Z",
    "title_canon_sha256": "488616d73d5899782e205d642ff3a79c97de877f42f29fdbf164f52ad30b6f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0201069",
    "kind": "arxiv",
    "version": 1
  }
}