Pith Number

pith:7OGG6DEY

pith:2012:7OGG6DEYXMOJHKZVJHVKGDDRSH

not attested not anchored not stored refs pending

Phase structure and critical processes of spectral curves in large N dualities

Elena Medina, Gabriel \'Alvarez, Luis Mart\'inez Alonso

arxiv:1204.5054 v2 · 2012-04-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OGG6DEYXMOJHKZVJHVKGDDRSH}

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	2026-05-18T03:35:02.130784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8c6f0c98bb1c93ab3549eaa30c7191fc4648cb83c17a2e184e6388aeba1e24

Aliases

arxiv: 1204.5054 · arxiv_version: 1204.5054v2 · doi: 10.48550/arxiv.1204.5054 · pith_short_12: 7OGG6DEYXMOJ · pith_short_16: 7OGG6DEYXMOJHKZV · pith_short_8: 7OGG6DEY

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/7OGG6DEYXMOJHKZVJHVKGDDRSH \
  | 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: fb8c6f0c98bb1c93ab3549eaa30c7191fc4648cb83c17a2e184e6388aeba1e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7582243d49114487fd0c2a945a3437fdcde38a7d5508c68d7f76270e93c3ee",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-23T13:17:24Z",
    "title_canon_sha256": "c350f5b3824104e055bc036ee2d722cdd2ae3c413ecf220b494ffba72b4ff46b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5054",
    "kind": "arxiv",
    "version": 2
  }
}