Pith Number

pith:UI7ZDMIP

pith:2017:UI7ZDMIPAWVWKNX2RYJ2XTPAA5

not attested not anchored not stored refs pending

Tropical Geometric Compactification of Moduli, II - $A_g$ case and holomorphic limits -

Yuji Odaka

arxiv:1705.05545 v1 · 2017-05-16 · math.AG · math.DG · 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{UI7ZDMIPAWVWKNX2RYJ2XTPAA5}

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	2026-05-18T00:44:22.468590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23f91b10f05ab6536fa8e13abcde00773576165727f08c2ee6a8a930fad99e4

Aliases

arxiv: 1705.05545 · arxiv_version: 1705.05545v1 · doi: 10.48550/arxiv.1705.05545 · pith_short_12: UI7ZDMIPAWVW · pith_short_16: UI7ZDMIPAWVWKNX2 · pith_short_8: UI7ZDMIP

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/UI7ZDMIPAWVWKNX2RYJ2XTPAA5 \
  | 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: a23f91b10f05ab6536fa8e13abcde00773576165727f08c2ee6a8a930fad99e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21bc45a475de8b958bc841c523270f9bc210fd67164ad7a85c001f5cd9d3161",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-16T06:17:03Z",
    "title_canon_sha256": "6da85760db026d59bc364e1a920c56bbe37a272e7dc3eeeb925e9d460201f3ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05545",
    "kind": "arxiv",
    "version": 1
  }
}