Pith Number

pith:ZMIHZHXK

pith:2016:ZMIHZHXKXZ2FMYXK6FANUGR4Z6

not attested not anchored not stored refs pending

The Woods Hole trace formula and indices for vector fields and foliations on $\mathbb{C}^2$

Valente Ram\'irez

arxiv:1608.05321 v1 · 2016-08-18 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMIHZHXKXZ2FMYXK6FANUGR4Z6}

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	2026-05-18T01:08:31.379047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb107c9eeabe745662eaf140da1a3ccfb401faed52738953bb4dfe4b361e32fd

Aliases

arxiv: 1608.05321 · arxiv_version: 1608.05321v1 · doi: 10.48550/arxiv.1608.05321 · pith_short_12: ZMIHZHXKXZ2F · pith_short_16: ZMIHZHXKXZ2FMYXK · pith_short_8: ZMIHZHXK

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/ZMIHZHXKXZ2FMYXK6FANUGR4Z6 \
  | 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: cb107c9eeabe745662eaf140da1a3ccfb401faed52738953bb4dfe4b361e32fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7208cc78f154a72ce2b6e784120f308eb3c000b2c11b0a667baf662a284b1ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-18T16:29:57Z",
    "title_canon_sha256": "4a593ec4594ef98aac9aa6e2b070c7646252ce46b3b465ec39baa70f36e38025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05321",
    "kind": "arxiv",
    "version": 1
  }
}