Pith Number

pith:S7LHQ42N

pith:2019:S7LHQ42NMKXSCCA6X2JTUXOFHO

not attested not anchored not stored refs pending

Asymptotic constructions and invariants of graded linear series

Chih-Wei Chang, Shin-Yao Jow

arxiv:1903.05967 v1 · 2019-03-14 · 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{S7LHQ42NMKXSCCA6X2JTUXOFHO}

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	2026-05-17T23:51:15.701923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d678734d62af21081ebe933a5dc53b8f435872943fda004f8f792f60afa1cc

Aliases

arxiv: 1903.05967 · arxiv_version: 1903.05967v1 · doi: 10.48550/arxiv.1903.05967 · pith_short_12: S7LHQ42NMKXS · pith_short_16: S7LHQ42NMKXSCCA6 · pith_short_8: S7LHQ42N

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/S7LHQ42NMKXSCCA6X2JTUXOFHO \
  | 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: 97d678734d62af21081ebe933a5dc53b8f435872943fda004f8f792f60afa1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7927d53a8af18ae6e887f4afc45c2789fbc236080b6bd5c42e3dd1284cfd2aa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-14T13:08:35Z",
    "title_canon_sha256": "398c616af86826880be4da1ba88e01fde6059d1258c6b07fbf3c31b8e303fb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05967",
    "kind": "arxiv",
    "version": 1
  }
}