Pith Number

pith:6C5FK77M

pith:2015:6C5FK77M5DSIT6X4FSA62P4YVA

not attested not anchored not stored refs pending

Knotted surfaces in 4-manifolds and stabilizations

Nathan Sunukjian, R. Inanc Baykur

arxiv:1504.04086 v1 · 2015-04-16 · 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{6C5FK77M5DSIT6X4FSA62P4YVA}

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	2026-05-18T00:44:28.410604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ba557fece8e489fafc2c81ed3f98a83dc2d7358470aca4ef9ca69fded39a51

Aliases

arxiv: 1504.04086 · arxiv_version: 1504.04086v1 · doi: 10.48550/arxiv.1504.04086 · pith_short_12: 6C5FK77M5DSI · pith_short_16: 6C5FK77M5DSIT6X4 · pith_short_8: 6C5FK77M

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/6C5FK77M5DSIT6X4FSA62P4YVA \
  | 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: f0ba557fece8e489fafc2c81ed3f98a83dc2d7358470aca4ef9ca69fded39a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9dca03bcddd1438da27aba79715f1392b770666e2ead85adb03e9ddd572eb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-16T02:30:09Z",
    "title_canon_sha256": "09ce7767708650d3a877b529e5655a150cd45cdbfecc40c342f9fca9b994b36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04086",
    "kind": "arxiv",
    "version": 1
  }
}