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Pith Number

pith:FBQ77M3S

pith:2011:FBQ77M3SNRRB6MHQ2NURV3YAXZ
not attested not anchored not stored refs pending

Dynamics on PSL(2,C)-character varieties: 3-manifolds with toroidal boundary components

Aaron Magid, Richard Canary

arxiv:1110.6567 v2 · 2011-10-29 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FBQ77M3SNRRB6MHQ2NURV3YAXZ}

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 2026-05-18T03:20:18.804483Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2861ffb3726c621f30f0d3691aef00be7d234958e8b6f586372fc1c1d485a645

Aliases

arxiv: 1110.6567 · arxiv_version: 1110.6567v2 · doi: 10.48550/arxiv.1110.6567 · pith_short_12: FBQ77M3SNRRB · pith_short_16: FBQ77M3SNRRB6MHQ · pith_short_8: FBQ77M3S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FBQ77M3SNRRB6MHQ2NURV3YAXZ \
  | 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: 2861ffb3726c621f30f0d3691aef00be7d234958e8b6f586372fc1c1d485a645
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c7c2d431d43fd2f904fff1920e300612162c2d7d64046b8ac2cae1374c07cd91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-29T23:31:42Z",
    "title_canon_sha256": "8ca99a72ab8e8edb4782db79f426b65b2d050683b8ecc5227402723a76d43d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6567",
    "kind": "arxiv",
    "version": 2
  }
}