Pith Number

pith:VYBDYQ6K

pith:2016:VYBDYQ6KRLNHEFH3S5CMI2GVKB

not attested not anchored not stored refs pending

Classifying spaces of degenerating mixed Hodge structures, IV: The fundamental diagram

Chikara Nakayama, Kazuya Kato, Sampei Usui

arxiv:1602.00811 v1 · 2016-02-02 · 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{VYBDYQ6KRLNHEFH3S5CMI2GVKB}

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	2026-05-18T00:15:24.867295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae023c43ca8ada7214fb9744c468d5504ef688b926e1911a802bec7f2eea10ef

Aliases

arxiv: 1602.00811 · arxiv_version: 1602.00811v1 · doi: 10.48550/arxiv.1602.00811 · pith_short_12: VYBDYQ6KRLNH · pith_short_16: VYBDYQ6KRLNHEFH3 · pith_short_8: VYBDYQ6K

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/VYBDYQ6KRLNHEFH3S5CMI2GVKB \
  | 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: ae023c43ca8ada7214fb9744c468d5504ef688b926e1911a802bec7f2eea10ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bdea0dfc573c2bcfb4fc3473d42dea62a9cb6bf560aaa7e5fd5ef294c97367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-02T07:34:41Z",
    "title_canon_sha256": "229169b9ad0fa88cc419658b4ab40074e355cf7a3dd68cd1fe4c59506e1184a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00811",
    "kind": "arxiv",
    "version": 1
  }
}