Pith Number

pith:YN5DHZSE

pith:2019:YN5DHZSEIFMYGRF2KUH6BAAAWZ

not attested not anchored not stored refs pending

Asymptotics of some quantum invariants of the Whitehead chains

Ka Ho Wong

arxiv:1912.10638 v2 · 2019-12-23 · 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{YN5DHZSEIFMYGRF2KUH6BAAAWZ}

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.

Cited by

1 paper in Pith

Augmented links, shadow links, and the TV volume conjecture: a geometric perspective

Receipt and verification

First computed	2026-07-05T01:05:24.827221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37a33e64441598344ba550fe08000b647db0ed9c96f89e93539329844b44d47

Aliases

arxiv: 1912.10638 · arxiv_version: 1912.10638v2 · doi: 10.48550/arxiv.1912.10638 · pith_short_12: YN5DHZSEIFMY · pith_short_16: YN5DHZSEIFMYGRF2 · pith_short_8: YN5DHZSE

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/YN5DHZSEIFMYGRF2KUH6BAAAWZ \
  | 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: c37a33e64441598344ba550fe08000b647db0ed9c96f89e93539329844b44d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae9386e9eec9730b5915e811450c9de1a7f7988d103aed1f84e2fe6f134cc1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-12-23T05:49:16Z",
    "title_canon_sha256": "751ea438dd0acc50a2e42b1d3a38dd7c93bae2aca2137d7e9c4a18d0aec14fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10638",
    "kind": "arxiv",
    "version": 2
  }
}