Pith Number

pith:RAXAFB2Z

pith:2013:RAXAFB2ZWJ7S23EGA3LEFOXFRD

not attested not anchored not stored refs pending

Branched Spherical CR structures on the complement of the figure eight knot

Elisha Falbel, Jieyan Wang

arxiv:1304.0112 v1 · 2013-03-30 · 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{RAXAFB2ZWJ7S23EGA3LEFOXFRD}

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	2026-05-18T03:29:25.958780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882e028759b27f2d6c8606d642bae588e6024ba78c80e5aa8d5327510ce0f205

Aliases

arxiv: 1304.0112 · arxiv_version: 1304.0112v1 · doi: 10.48550/arxiv.1304.0112 · pith_short_12: RAXAFB2ZWJ7S · pith_short_16: RAXAFB2ZWJ7S23EG · pith_short_8: RAXAFB2Z

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/RAXAFB2ZWJ7S23EGA3LEFOXFRD \
  | 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: 882e028759b27f2d6c8606d642bae588e6024ba78c80e5aa8d5327510ce0f205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52f75d3a54efd8ff3dda67426c97198d4a61af3f830ac8d7df7c3e114ff7f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-30T14:49:42Z",
    "title_canon_sha256": "fee0b5d7ad0ec1bdb26538fb17b980590b050b9cd0ea24e446a134ef8f8a778f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0112",
    "kind": "arxiv",
    "version": 1
  }
}