Pith Number

pith:R7D6EQ3H

pith:2011:R7D6EQ3HZRZHN6HLICFYZMZ2VK

not attested not anchored not stored refs pending

Symplectic S{\mu} singularities

Wojciech Domitrz, \.Zaneta Tr\c{e}bska

arxiv:1101.5176 v1 · 2011-01-26 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7D6EQ3HZRZHN6HLICFYZMZ2VK}

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	2026-05-18T03:41:30.794137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc7e24367cc7276f8eb408b8cb33aaa857393735dcc031d4153f38cdf9fbe77

Aliases

arxiv: 1101.5176 · arxiv_version: 1101.5176v1 · doi: 10.48550/arxiv.1101.5176 · pith_short_12: R7D6EQ3HZRZH · pith_short_16: R7D6EQ3HZRZHN6HL · pith_short_8: R7D6EQ3H

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/R7D6EQ3HZRZHN6HLICFYZMZ2VK \
  | 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: 8fc7e24367cc7276f8eb408b8cb33aaa857393735dcc031d4153f38cdf9fbe77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0833b484e22a2df44e85b7b4d83b82cd4845dcdeb3f6768ef9c0ee2aeb3d888",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-01-26T21:51:18Z",
    "title_canon_sha256": "aac7f95ab56b47057c95f502fa48defda8b51bb1be57854c8933c22af3c5ab88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5176",
    "kind": "arxiv",
    "version": 1
  }
}