Pith Number

pith:E77FYVZF

pith:2003:E77FYVZFEJYJSMM3YGGZV6CN2S

not attested not anchored not stored refs pending

The global quantum duality principle: theory, examples, and applications

Fabio Gavarini (Universita` di Roma "Tor Vergata")

arxiv:math/0303019 v9 · 2003-03-03 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E77FYVZFEJYJSMM3YGGZV6CN2S}

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

1 paper in Pith

Knot contact homology as a planar limit of Chern-Simons theory

Receipt and verification

First computed	2026-05-18T03:43:53.207773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27fe5c5725227099319bc18d9af84dd482537ab6299740717dc92f11b684f0f8

Aliases

arxiv: math/0303019 · arxiv_version: math/0303019v9 · doi: 10.48550/arxiv.math/0303019 · pith_short_12: E77FYVZFEJYJ · pith_short_16: E77FYVZFEJYJSMM3 · pith_short_8: E77FYVZF

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/E77FYVZFEJYJSMM3YGGZV6CN2S \
  | 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: 27fe5c5725227099319bc18d9af84dd482537ab6299740717dc92f11b684f0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2793044058def94199519e8a9fe56c65d09990a28e5d3def6405512669a8158c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2003-03-03T11:00:31Z",
    "title_canon_sha256": "faac96aeadc205704cd870134bef014cb61786b37758605c9c5df539659cdbdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303019",
    "kind": "arxiv",
    "version": 9
  }
}