Pith Number

pith:MWBSNQQZ

pith:2008:MWBSNQQZXACSKVSC4JFVTCBG3L

not attested not anchored not stored refs pending

On 3-manifolds with locally-standard (Z_2)^3-actions

Li Yu, Zhi L\"u

arxiv:0807.3062 v2 · 2008-07-21 · math.GT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWBSNQQZXACSKVSC4JFVTCBG3L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:18:48.236587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

658326c219b805255642e24b598826dafc27413e359fc38bddabb09f779d43bd

Aliases

arxiv: 0807.3062 · arxiv_version: 0807.3062v2 · doi: 10.48550/arxiv.0807.3062 · pith_short_12: MWBSNQQZXACS · pith_short_16: MWBSNQQZXACSKVSC · pith_short_8: MWBSNQQZ

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/MWBSNQQZXACSKVSC4JFVTCBG3L \
  | 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: 658326c219b805255642e24b598826dafc27413e359fc38bddabb09f779d43bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f10365a16ccc46e5eaea08aa5cfb3ccac85e894d5202b822d75a9d68854cf4e",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-21T08:04:43Z",
    "title_canon_sha256": "647d5b62200f016dde3f2ee46970d9e4b36208324d22f66aa3d4f6e424decd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3062",
    "kind": "arxiv",
    "version": 2
  }
}