Pith Number

pith:6TS45HVW

pith:2019:6TS45HVW2BJ5IASKMNMC2I7NBM

not attested not anchored not stored refs pending

Fixed points for branched covering maps of the plane

Alejo Garc\'ia

arxiv:1906.03770 v1 · 2019-06-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TS45HVW2BJ5IASKMNMC2I7NBM}

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	2026-05-17T23:43:45.030458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e5ce9eb6d053d4024a63582d23ed0b0c846fd1abc8734a7163e4be748ba013

Aliases

arxiv: 1906.03770 · arxiv_version: 1906.03770v1 · doi: 10.48550/arxiv.1906.03770 · pith_short_12: 6TS45HVW2BJ5 · pith_short_16: 6TS45HVW2BJ5IASK · pith_short_8: 6TS45HVW

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/6TS45HVW2BJ5IASKMNMC2I7NBM \
  | 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: f4e5ce9eb6d053d4024a63582d23ed0b0c846fd1abc8734a7163e4be748ba013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c6f69834f94642b9bb9472c9c1b76e7510733d26ef73c2429bb75e9f4b51be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-10T02:29:42Z",
    "title_canon_sha256": "2e766ce7a1c190bc1fba377f7a78465840af28b3a2a2b5da25bec215bb05b3d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03770",
    "kind": "arxiv",
    "version": 1
  }
}