Pith Number

pith:3JGZ5TF5

pith:2016:3JGZ5TF5ZCJCIKTKFYR7Q4GJLR

not attested not anchored not stored refs pending

Local polar varieties in the geometric study of singularities

Arturo Giles Flores, Bernard Teissier (IMJ-PRG)

arxiv:1607.07979 v3 · 2016-07-27 · math.AG · 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{3JGZ5TF5ZCJCIKTKFYR7Q4GJLR}

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	2026-05-18T00:28:07.254668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4d9eccbdc892242a6a2e23f870c95c6dfed60ce08edd7b088f0ce5733a1ccc

Aliases

arxiv: 1607.07979 · arxiv_version: 1607.07979v3 · doi: 10.48550/arxiv.1607.07979 · pith_short_12: 3JGZ5TF5ZCJC · pith_short_16: 3JGZ5TF5ZCJCIKTK · pith_short_8: 3JGZ5TF5

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/3JGZ5TF5ZCJCIKTKFYR7Q4GJLR \
  | 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: da4d9eccbdc892242a6a2e23f870c95c6dfed60ce08edd7b088f0ce5733a1ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a269ab64d3b78662127c5cf211553a6ac878541f6a19407aebbaf69fd2eceec9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-27T06:43:23Z",
    "title_canon_sha256": "ec40caf31defca8277e16a0b1aff694aec1ecc916dd4baf6e463b9040cf46b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07979",
    "kind": "arxiv",
    "version": 3
  }
}