Pith Number

pith:GCWRFVIC

pith:2016:GCWRFVICJ72WYH46G3IPFXNE3I

not attested not anchored not stored refs pending

Algebraicity of the image of period map

Kefeng Liu, Yang Shen

arxiv:1608.06029 v1 · 2016-08-22 · 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{GCWRFVICJ72WYH46G3IPFXNE3I}

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	2026-05-18T01:08:22.508421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ad12d5024ff56c1f9e36d0f2dda4da088502cd0a3bbc0ccd6b5782154032a3

Aliases

arxiv: 1608.06029 · arxiv_version: 1608.06029v1 · doi: 10.48550/arxiv.1608.06029 · pith_short_12: GCWRFVICJ72W · pith_short_16: GCWRFVICJ72WYH46 · pith_short_8: GCWRFVIC

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/GCWRFVICJ72WYH46G3IPFXNE3I \
  | 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: 30ad12d5024ff56c1f9e36d0f2dda4da088502cd0a3bbc0ccd6b5782154032a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f3256463c7f6cc5770515756c76410856a4e6ec752318722d36776eee4fbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-22T02:00:57Z",
    "title_canon_sha256": "30229730665ff8ff973a6baf8b6c1abc5a4953feed750eff32fdf155011ef475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06029",
    "kind": "arxiv",
    "version": 1
  }
}