Pith Number

pith:NSECADY6

pith:2011:NSECADY6IZHW2GRCWT2LSPKSDG

not attested not anchored not stored refs pending

Gribov as a Phase Transition

L. C. Q. Vilar, O.S. Ventura, V. E. R. Lemes

arxiv:1108.3305 v2 · 2011-08-16 · 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{NSECADY6IZHW2GRCWT2LSPKSDG}

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	2026-05-18T02:00:53.146035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c88200f1e464f6d1a22b4f4b93d5219bc7bb1551531c971f7749ed6c43caea9

Aliases

arxiv: 1108.3305 · arxiv_version: 1108.3305v2 · doi: 10.48550/arxiv.1108.3305 · pith_short_12: NSECADY6IZHW · pith_short_16: NSECADY6IZHW2GRC · pith_short_8: NSECADY6

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/NSECADY6IZHW2GRCWT2LSPKSDG \
  | 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: 6c88200f1e464f6d1a22b4f4b93d5219bc7bb1551531c971f7749ed6c43caea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452d616f8f5488b10d5c003979820363c3ab958acd897afc9395fe88f838b0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-16T18:16:13Z",
    "title_canon_sha256": "c53d669ccefa3147430a4cefd6c3872d6097e02dc86abcea2f05467988ee778f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3305",
    "kind": "arxiv",
    "version": 2
  }
}