Pith Number

pith:EK2TW4PA

pith:2019:EK2TW4PAJ25S3MASWS2FM6GBH3

not attested not anchored not stored refs pending

Critical Bridge Spheres for Links with Arbitrarily Many Bridges

Daniel Rodman, Puttipong Pongtanapaisan

arxiv:1906.03483 v1 · 2019-06-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK2TW4PAJ25S3MASWS2FM6GBH3}

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	2026-05-17T23:43:48.338568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b53b71e04ebb2db012b4b45678c13ee98daa00b4fc6dc83f4ff24d76d9ec4c

Aliases

arxiv: 1906.03483 · arxiv_version: 1906.03483v1 · doi: 10.48550/arxiv.1906.03483 · pith_short_12: EK2TW4PAJ25S · pith_short_16: EK2TW4PAJ25S3MAS · pith_short_8: EK2TW4PA

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/EK2TW4PAJ25S3MASWS2FM6GBH3 \
  | 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: 22b53b71e04ebb2db012b4b45678c13ee98daa00b4fc6dc83f4ff24d76d9ec4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3509a065288a3ae55845b65bc0df71ee6e0edd3997846cf5327cd0f518c6120e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-08T16:12:47Z",
    "title_canon_sha256": "c78828c51380dfed857116f71ccb1257f06f8ba4484873ea9204932cb487844c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03483",
    "kind": "arxiv",
    "version": 1
  }
}