Pith Number

pith:J35HTWCO

pith:2019:J35HTWCOAG52SRSPZ62RU5LKJH

not attested not anchored not stored refs pending

Free boundaries subject to topological constraints

David S. Jerison, Nikola Kamburov

arxiv:1902.00158 v1 · 2019-02-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J35HTWCOAG52SRSPZ62RU5LKJH}

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	2026-05-17T23:54:58.149670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efa79d84e01bba9464fcfb51a756a49d4b94c9fb7690cb2195cdef48584b0f4

Aliases

arxiv: 1902.00158 · arxiv_version: 1902.00158v1 · doi: 10.48550/arxiv.1902.00158 · pith_short_12: J35HTWCOAG52 · pith_short_16: J35HTWCOAG52SRSP · pith_short_8: J35HTWCO

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/J35HTWCOAG52SRSPZ62RU5LKJH \
  | 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: 4efa79d84e01bba9464fcfb51a756a49d4b94c9fb7690cb2195cdef48584b0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9aaa0ba5dd82720f98f62be8833772f183115ef8394169c1941f02c0fbb96b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-01T03:07:34Z",
    "title_canon_sha256": "c0866884f3a12a4376c9f7de38b4b93a7ab3d0d443c0f24d4e3e1859a97f1469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00158",
    "kind": "arxiv",
    "version": 1
  }
}