Pith Number

pith:CVGPGUFG

pith:2016:CVGPGUFGBBWU5CS2WH5LZMNQAC

not attested not anchored not stored refs pending

Opers versus nonabelian Hodge

Andrew Neitzke, Georgios Kydonakis, Laura Fredrickson, Motohico Mulase, Olivia Dumitrescu, Rafe Mazzeo

arxiv:1607.02172 v1 · 2016-07-07 · math.DG · math.AG · 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{CVGPGUFGBBWU5CS2WH5LZMNQAC}

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	2026-05-18T01:11:09.782840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154cf350a6086d4e8a5ab1fabcb1b000bce6ae79b0b9adf4143e268c5eb89a48

Aliases

arxiv: 1607.02172 · arxiv_version: 1607.02172v1 · doi: 10.48550/arxiv.1607.02172 · pith_short_12: CVGPGUFGBBWU · pith_short_16: CVGPGUFGBBWU5CS2 · pith_short_8: CVGPGUFG

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/CVGPGUFGBBWU5CS2WH5LZMNQAC \
  | 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: 154cf350a6086d4e8a5ab1fabcb1b000bce6ae79b0b9adf4143e268c5eb89a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f73d9a38edd62b8e2e06d59222c087adc64599cc1395f89c885fd38237fec8",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-07T21:01:19Z",
    "title_canon_sha256": "2c7535d1f52594ecce51f77f08464aa4b35460bf55cd94430497c1085142f280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02172",
    "kind": "arxiv",
    "version": 1
  }
}