Pith Number

pith:65L7FCR6

pith:2011:65L7FCR6ZI5VP7WLIJRJFRLEZY

not attested not anchored not stored refs pending

Swap action on moduli spaces of polygonal linkages

Gaiane Panina, Mikhail Khristoforov

arxiv:1107.0126 v2 · 2011-07-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65L7FCR6ZI5VP7WLIJRJFRLEZY}

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	2026-05-18T04:08:05.090138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f757f28a3eca3b57fecb426292c564ce052a084e7ab48a5b255d028766b7a027

Aliases

arxiv: 1107.0126 · arxiv_version: 1107.0126v2 · doi: 10.48550/arxiv.1107.0126 · pith_short_12: 65L7FCR6ZI5V · pith_short_16: 65L7FCR6ZI5VP7WL · pith_short_8: 65L7FCR6

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/65L7FCR6ZI5VP7WLIJRJFRLEZY \
  | 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: f757f28a3eca3b57fecb426292c564ce052a084e7ab48a5b255d028766b7a027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fedec03c524d792aa099661a35035232b13efa018e215c6e46413cab8bf4434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-07-01T07:32:42Z",
    "title_canon_sha256": "d578dc78d0576cbd4d34a8c71cbc9119bedaa4584f67bfd239130619f83298af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0126",
    "kind": "arxiv",
    "version": 2
  }
}