Pith Number

pith:FOACHTVA

pith:2017:FOACHTVAZOJCPPMHSZYJ3Y3PDK

not attested not anchored not stored refs pending

Weierstrass preparation theorem and singularities in the space of non-degenerate arcs

Ngo Bao Chau

arxiv:1706.05926 v1 · 2017-06-19 · 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{FOACHTVAZOJCPPMHSZYJ3Y3PDK}

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	2026-05-18T00:42:08.515182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8023cea0cb9227bd8796709de36f1a924860dfe6bd907548325dcf21067072

Aliases

arxiv: 1706.05926 · arxiv_version: 1706.05926v1 · doi: 10.48550/arxiv.1706.05926 · pith_short_12: FOACHTVAZOJC · pith_short_16: FOACHTVAZOJCPPMH · pith_short_8: FOACHTVA

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/FOACHTVAZOJCPPMHSZYJ3Y3PDK \
  | 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: 2b8023cea0cb9227bd8796709de36f1a924860dfe6bd907548325dcf21067072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7379ddb263486feaffeda34c2e21401442f96e299fa364beb57b9db77e89e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-19T13:28:56Z",
    "title_canon_sha256": "ad0a3c4443eff2dfdadab6eda5cfdca1ff4fd0007db50a9280c440229b269276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05926",
    "kind": "arxiv",
    "version": 1
  }
}