Pith Number

pith:QHXHJFS2

pith:2012:QHXHJFS2MNYJ3JUN4HWSO6AMYL

not attested not anchored not stored refs pending

Givental graphs and inversion symmetry

L. Spitz, P. Dunin-Barkowski, S. Shadrin

arxiv:1201.4930 v2 · 2012-01-24 · 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{QHXHJFS2MNYJ3JUN4HWSO6AMYL}

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	2026-05-18T03:27:42.928780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ee74965a63709da68de1ed27780cc2d1b1e0130b7824759c0588a4d2ce4f3f

Aliases

arxiv: 1201.4930 · arxiv_version: 1201.4930v2 · doi: 10.48550/arxiv.1201.4930 · pith_short_12: QHXHJFS2MNYJ · pith_short_16: QHXHJFS2MNYJ3JUN · pith_short_8: QHXHJFS2

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/QHXHJFS2MNYJ3JUN4HWSO6AMYL \
  | 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: 81ee74965a63709da68de1ed27780cc2d1b1e0130b7824759c0588a4d2ce4f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96865aa9d84f8f4e697866814f54276a2ca25c8b4a9350117e19d415ce77f4e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-24T09:04:10Z",
    "title_canon_sha256": "b3ad191e3c06fbdabe6fdd6af80c3e6303f14e45dd7c1d1f24032cde92d096de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4930",
    "kind": "arxiv",
    "version": 2
  }
}